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Test: Problems On Probability - Commerce MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 11 - Test: Problems On Probability

Test: Problems On Probability for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation. The Test: Problems On Probability questions and answers have been prepared according to the Commerce exam syllabus.The Test: Problems On Probability MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Problems On Probability below.
Solutions of Test: Problems On Probability questions in English are available as part of our Mathematics (Maths) Class 11 for Commerce & Test: Problems On Probability solutions in Hindi for Mathematics (Maths) Class 11 course. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free. Attempt Test: Problems On Probability | 10 questions in 10 minutes | Mock test for Commerce preparation | Free important questions MCQ to study Mathematics (Maths) Class 11 for Commerce Exam | Download free PDF with solutions
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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