Probability
ICSE · Class 11 · Mathematics
Practice quiz for Probability — ICSE Class 11 Mathematics. MCQs and questions with answers to test your preparation.
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A single card is drawn from a standard deck of 52 cards. Let E be the event of drawing a red card and F be the event of drawing a face card. Find P(E union F).
A die is thrown once. Let E be the event of getting a prime number and F be the event of getting an odd number. Find P(E union F).
Three coins are tossed once. Let A be the event of getting exactly one head and B be the event of getting at least two heads. Find P(A union B).
A box contains 2 red balls, 5 black balls and 8 green balls. One ball is drawn at random. Let E be the event of drawing a red ball or a black ball. Find P(E).
Sample Questions
A bag contains 2 red balls, 5 black balls and 8 green balls. One ball is drawn at random. Find the probability that the ball is neither red nor black.
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8/15
Neither red nor black means the ball must be green. There are 8 green balls out of 15 total balls. So the probability is 8/15.
A die is thrown once. Let E be getting a number less than 7 and F be getting a number greater than 7. Find P(E union F).
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1
On a die, every outcome is less than 7. So E is the whole sample space and P(E) = 1. Event F is impossible. Therefore E union F is still the whole sample space, so P(E union F) = 1.
A die is thrown once. Let E be the event of getting an even number and F be the event of getting 6. Find P(E intersection F).
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1/6
E = {2,4,6} and F = {6}. So E intersection F = {6}. There is 1 favourable outcome out of 6 total outcomes. Hence P(E intersection F) = 1/6.
A die is thrown once. Let E be the event of getting an even number and F be the event of getting an odd number. Which statement is correct?
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E and F are mutually exclusive and exhaustive
E = {2,4,6} and F = {1,3,5}. They have no common outcome, so they are mutually exclusive. Their union is {1,2,3,4,5,6}, which is the sample space, so they are exhaustive too.
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