class 12

Math

Algebra

Probability

An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colour is

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Two unbaised dice are thrown. Find the probability that the sum of the numbers appearing is $8$ or greater, if $4$ appear on the first head.

Find the probability distribution of the number of doublets in four throws of a pair of dice. Also find the mean and variance of this distribution.

Suppose 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.

On a multiple choice examination with three possible answers (out of which only one is correct) for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing?

A card is drawn at random from a well-shuffled pack of 52 cards. Find theprobability that it is neither a ace nor a king.

Let $A$ and $B$ be the events such that $P(A)=137 ,P(B)=139 $ and $P(A∩B)=134 $. Find $P(A/B)$

Cards marked with numbers 3, 4, 5, ......, 50 are placed in a box and mixedthoroughly. One card is drawn at random from the box. Find the probability thatnumber on the drawn card is dividing by 7.