Class 10

Math

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Probability

Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is

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The probability that A hits a target is $31 $and the probability that B hits it is$52 $. If each one of and $B$shoots at the target, what is the probability that(i) the target is hit? (ii) exactly one-of-them-hits the target?

Two dice were thrown and it is known that the numbers which come up were different. Find the probability that the sum of the two numbers was $5$.

Suppose a girl throws a die. If she gets 1 or 2 , she tosses a coin three times and notes the number of tails. If she gets 3,4,5 or 6, she tosses the coin once and notes whether 'head' or 'tail' is obtained. If she obtained exactly one 'tail', what is the probability that she threw 3,4,5,or 6 with the die

An urn contains 6 red and 5 blue balls. Two balls are drawn at random with replacement. Find the probability of getting(i) 2 red balls(ii) 2 blue balls(iii) one red and one blue ball

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is

Consider 5 independent Bernoulli.s trials each with probability of success p. If the probability of at least one failure is greater than or equal to $3231 $, then p lies in the interval :

In a hostel $60%$ of the students read Hindi newspaper, $40%$ read English newspaper and $20%$ read Hindi and English newspapers. A student is selected at random.If he reads English newspaper, what is the probability that he reads Hindi newspaper ?