7:[["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"Quiz\",\"name\":\"Quiz 1\",\"description\":\"Probability, conditional probability, and basic counting concepts.\",\"url\":\"https://theschoolofmathematics.com/quiz/psat-8-9-probability-conditional-probability-quiz-1\",\"timeRequired\":\"PT900M\",\"educationalLevel\":\"Fundamental\",\"numberOfQuestions\":10,\"isAccessibleForFree\":true,\"about\":{\"@type\":\"Thing\",\"name\":\"Problem-Solving and Data Analysis - Probability and Conditional Probability\"}}"}}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https://theschoolofmathematics.com\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Quizzes\",\"item\":\"https://theschoolofmathematics.com/quiz\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Quiz 1\",\"item\":\"https://theschoolofmathematics.com/quiz/psat-8-9-probability-conditional-probability-quiz-1\"}]}"}}],["$","div",null,{"className":"bg-gradient-to-b from-white via-gray-50 to-white","children":["$","div",null,{"className":"container mx-auto px-4 py-8 md:py-12","children":[["$","div",null,{"className":"mb-12","children":["$undefined",["$","div",null,{"className":"mb-8","children":["$","h1",null,{"className":"text-4xl md:text-5xl lg:text-6xl font-bold text-gray-900 mb-4","children":"Quiz 1"}]}],["$","div",null,{"className":"bg-white rounded-2xl shadow-lg p-6 md:p-8 border border-gray-200","children":[["$","div",null,{"className":"text-lg md:text-xl text-gray-700 mb-8 leading-relaxed prose prose-lg max-w-none","dangerouslySetInnerHTML":{"__html":"

Probability, conditional probability, and basic counting concepts.

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Practice quiz on probability and conditional probability for PSAT 8-9.

"},"excerpt":{"rendered":"

Probability, conditional probability, and basic counting concepts.

"},"featured_media":0,"featured_media_url":"$undefined","acf":{"duree_estimee":900,"niveau_difficulte":"Fundamental","categorie":"Problem-Solving and Data Analysis - Probability and Conditional Probability","nombre_questions":10,"score_minimum":90,"ordre_questions":"Fixe","questions":[{"id":"cmrk8f0ed0y4hjg8wuaqpbr4o","texte_question":"

A club has $$60$$ members, $$15$$ of whom play the piano. If one member is selected at random, what is the probability that the selected member plays the piano?

","type_question":"QCM","explication":"

Use the probability formula.

$$P=\\frac{\\mathrm{number\\ of\\ favorable\\ outcomes}}{\\mathrm{total\\ number\\ of\\ outcomes}}$$

There are $$15$$ members who play the piano.

There are $$60$$ members total.

So, the probability is: $$\\frac{15}{60}$$

Final answer: $$\\frac{15}{60}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$\\frac{1}{60}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{15}{60}$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{45}{60}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\frac{60}{60}$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0eg0y4njg8wave02smm","texte_question":"

A warehouse received a shipment of $$500$$ laptops, $$10$$ of which were damaged. If a laptop is selected at random, what is the probability that it is damaged?

","type_question":"QCM","explication":"

Use the probability formula.

There are $$10$$ damaged laptops.

There are $$500$$ laptops total.

So, the probability is: $$\\frac{10}{500}$$

Simplify:

$$\\frac{10}{500}=0.02$$

Final answer: $$0.02$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$0.02$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$0.2$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$0.5$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$2$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0ei0y4tjg8w6ykvr24e","texte_question":"

There are $$30$$ balls in a box: $$12$$ red, $$6$$ blue, and $$12$$ green. If one ball is selected at random, what is the probability of selecting a blue ball?

","type_question":"QCM","explication":"

Use the probability formula.

There are $$6$$ blue balls.

There are $$30$$ balls total.

So, the probability is: $$\\frac{6}{30}$$

Final answer: $$\\frac{6}{30}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$\\frac{6}{30}$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{12}{30}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{18}{30}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\frac{24}{30}$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0el0y4zjg8w5a3a2wdl","texte_question":"$18","type_question":"QCM","explication":"

Use the probability formula.

There are $$9$$ black pencils.

There are $$30$$ pencils total.

So, the probability is: $$\\frac{9}{30}$$

Final answer: $$\\frac{9}{30}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$\\frac{14}{30}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{9}{30}$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{7}{30}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\frac{23}{30}$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0eo0y55jg8w0uhpdxu7","texte_question":"

The data set is: $$-5,2,7,10$$ If one number is selected at random, what is the probability that the number is negative?

","type_question":"QCM","explication":"

Count the total number of values.

There are $$4$$ numbers in the data set.

Count the negative numbers.

Only $$-5$$ is negative, so there is $$1$$ negative number.

The probability is: $$\\frac{1}{4}$$

Final answer: $$\\frac{1}{4}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$0$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{1}{4}$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{2}{4}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$1$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0eq0y5bjg8w1z9fcxx5","texte_question":"$19","type_question":"QCM","explication":"

Use the total for customers who are at least $$30$$ years old.

There are $$100$$ customers who are at least $$30$$.

There are $$150$$ customers total.

So, the probability is: $$\\frac{100}{150}$$

Final answer: $$\\frac{100}{150}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$\\frac{50}{150}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{60}{150}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{100}{150}$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\frac{150}{150}$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0eu0y5hjg8wnyc15br4","texte_question":"$1a","type_question":"QCM","explication":"

First find the total number of females.

$$200+160=360$$

There are $$800$$ students total.

So, the total number of males is:

$$800-360=440$$

Of the males, $$240$$ own a tablet.

So, the number of males who do not own a tablet is:

$$440-240=200$$

Final answer: $$200$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$200$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$240$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$200$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$400$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0ex0y5njg8w3q5tk3nb","texte_question":"

Of the $$10$$ fruits in a basket, $$6$$ are apples. If one fruit is selected at random, what is the probability that it is an apple?

","type_question":"QCM","explication":"

Use the probability formula.

There are $$6$$ apples.

There are $$10$$ fruits total.

So, the probability is: $$\\frac{6}{10}$$

Final answer: $$\\frac{6}{10}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$\\frac{1}{10}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{3}{5}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{4}{10}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\frac{6}{10}$$

","correcte":true,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0f10y5tjg8wg33t4vcn","texte_question":"

In a factory, $$18$$ out of every $$90$$ items produced are defective. If one item is selected at random, what is the probability that it is defective?

","type_question":"QCM","explication":"

Use the probability formula.

There are $$18$$ defective items.

There are $$90$$ items total.

So, the probability is: $$\\frac{18}{90}$$

Simplify:

$$\\frac{18}{90}=\\frac{1}{5}$$

Final answer: $$\\frac{1}{5}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$\\frac{1}{5}$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{18}{90}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{90}{18}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\frac{18}{9}$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0f30y5zjg8wmj29o4m1","texte_question":"

On a street with $$12$$ houses, $$3$$ houses have solar panels. If one house is selected at random, what is the probability that it has solar panels?

","type_question":"QCM","explication":"

Use the probability formula.

There are $$3$$ houses with solar panels.

There are $$12$$ houses total.

So, the probability is: $$\\frac{3}{12}$$

Final answer: $$\\frac{3}{12}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$\\frac{1}{12}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{3}{12}$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$\\frac{9}{12}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\frac{12}{12}$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]}]},"categories":["problem-solving-and-data-analysis-probability-and-conditional-probability"],"date":"2026-06-04T09:04:49.027Z","modified":"2026-07-14T05:49:53.985Z"}}],["$","div",null,{"className":"container mx-auto px-4 pb-12","children":["$","$L1b",null,{"targetType":"quiz","targetSlug":"psat-8-9-probability-conditional-probability-quiz-1"}]}]]}]}]]

Quiz 1

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