Class 12

Math

Algebra

Probability

Three different coins are tossed together. Find the probability of getting (1) exactly 2 heads (2) atleast 2 heads

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A bag contains 15 white and some black balls. If the probability ofdrawing a black ball from the bag is thrice that of drawing a white ball,find the number of black balls in the bag.

If $P(A)=0.4,P(B)=0.48andP(A∩B)=0.16$, then find th e value of each of the following:

One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife is

If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is :

four fair dice $D_{1},D_{2},D_{3}andD_{4}$ each having six faces numbered 1,2,3,4,5 and 6 are rolled simultaneously. The probability that $D_{4}$ shows a number appearing on one of $D_{1},D_{2},D_{3}$ is

Five cards are drawn one by one, with replacement, from a well shuffled deck of 52 cards. Find the probability that (i) all the five cards are diamonds.(ii) only 3 cards are diamonds.(iii) none is a diamond.

The random variable $X$ can the values 0, 1, 2, 3, Give P(X = 0) = P(X = 1)= p and P(X = 2) = P(X = 3) such that $∑p_{i}x_{i}=2∑p_{i}x_{i}$ then find the value of $p$