Test: Problems On Probability


10 Questions MCQ Test Mathematics For JEE | Test: Problems On Probability


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This mock test of Test: Problems On Probability for JEE helps you for every JEE entrance exam. This contains 10 Multiple Choice Questions for JEE Test: Problems On Probability (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Problems On Probability quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: Problems On Probability exercise for a better result in the exam. You can find other Test: Problems On Probability extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

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:

Solution:

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

QUESTION: 2

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?

Solution:
QUESTION: 3

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?

Solution:
QUESTION: 4

The probability that the birth days of six different persons will fall in exactly two calendar months is:

Solution:
QUESTION: 5

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:

Solution:

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

QUESTION: 6

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?

Solution:
QUESTION: 7

The odds in favour of an event are 6 : 5. The probability of occurrence of this event:

Solution:
QUESTION: 8

When two dice are thrown what’s the probability of getting a sum less than 4?

Solution:
QUESTION: 9

A coin is tossed twice. What is the probability that atleast one tail occurs?

Solution:
QUESTION: 10

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:

Solution:

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

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