Class 12

Math

Algebra

Probability I

If A and B are two events, the probability that exactly one of them occurs is given by

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Winch of the following cannot be the probability of an event?(A) $32 $ (B)$1.5$ (C) 15% (D) 0.7

Assume that each born child is equally likely to be a boy or a girl . If a family has two children, what is the conditional probability that both are girls given that (i) the youngest is a girl (ii) at least one is a girl?

If four whole numbers taken at random are multiplied together, then find the probability that the last digit in the product is 1,3,7 or 9.

A die is thrown twice. What is the probability that(i) 5 will not come up either time? (ii) 5 will come up at least once?[Hint: Throwing a die twice and throwing two dice simultaneously are treated as the same experiment]

A fair coin is tossed $n$ times. if the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then find the value of $n˙$

An urn contains 4 balls. Two balls are drawn at random from the urn (without replacement) and are found to be white. What is the probability that all the four balls in the urn are white ?

Fill in the blanks m following table: $P(A)$ $P(B)$ $(A∩B)$ $P(A∪B)$(i) $31 $ $51 $ $151 $ . . . (ii) 0.35 . . . 0.25 0.6(iii) 0.5 0.35 . . . 0.7

Suppose we throw a die once, (i) What is the probability of getting a number greater than 4? (ii) What is the probability of getting a number less than or equal to 4 ?