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Test: Problems On Probability - JEE MCQ


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10 Questions MCQ Test - Test: Problems On Probability

Test: Problems On Probability for JEE 2024 is part of JEE preparation. The Test: Problems On Probability questions and answers have been prepared according to the JEE exam syllabus.The Test: Problems On Probability MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Problems On Probability below.
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Test: Problems On Probability - Question 1
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Five marbles are drawn from a bag which contains 6 blue marbles and 7 green marbles. Then, the probability that 3 will be blue and 2 green is:

Detailed Solution for Test: Problems On Probability - Question 1

Blue = 6
Green = 7
Number of ways 3 blue marbles can be drawn = 6C3
number of ways 2 green marbles can be drawn = 7C2
total ways of drawing 5 marbles = 13C5
=> probability = (6C3 * 7C2)/13C5 
= 140/429

Test: Problems On Probability - Question 2
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A four digit number is formed by using the digits 1,2,3,4,5,6,7 without repetition. What is the probability that it’s divisible by 2?

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Test: Problems On Probability - Question 3
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One card is drawn from a well shuffled pack of 52 cards. If each outcome is equally likely, what is the probability that the card will be a red card?

Test: Problems On Probability - Question 4
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The probability that the birth days of six different persons will fall in exactly two calendar months is:
Test: Problems On Probability - Question 5
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An urn contains 9 red, 7 white and 4 black balls. If two balls are drawn at random, then the probability that one ball is white is:
Detailed Solution for Test: Problems On Probability - Question 5

 n(S) = 20C2
=  P2 = (7C1 ⋅ 13C1)/20C2
= 91/190

Test: Problems On Probability - Question 6
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One card is drawn from a well shuffled pack of 52 cards. If each outcome is equally likely, what is the probability that the card will not be a red card?
Test: Problems On Probability - Question 7
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The odds in favour of an event are 6 : 5. The probability of occurrence of this event:
Test: Problems On Probability - Question 8
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When two dice are thrown what’s the probability of getting a sum less than 4?
Test: Problems On Probability - Question 9
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A coin is tossed twice. What is the probability that atleast one tail occurs?
Test: Problems On Probability - Question 10
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A coin is tossed. If head comes up a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining head and number 6 is:
Detailed Solution for Test: Problems On Probability - Question 10

Required sample space is {H1, H2, H3, H4, H5, H6, TH, TT}
∴ P(S) = 1/8

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