Mathematics : Probability

Two different dice are tossed together. Find the probability:
(i) of getting a doublet
(ii) of getting a sum 10, of the numbers on the two dice.

An integer is chosen at random between 1 and 100. Find the probability that it is :

(i) divisible by 8

(ii) not divisible by 8

The probability of getting an even number, when a die is thrown once, is

• $\frac{1}{2}$

• $\frac{1}{3}$

• $\frac{1}{6}$

• $\frac{5}{6}$

A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime-number less than 23,is

• $\frac{7}{90}$

• $\frac{10}{90}$

• $\frac{4}{45}$

• $\frac{9}{89}$

A card is drawn at random from a well shuffled pack of 52 playing cards.Find the probability that the drawn card is neither a king nor a queen

A Group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is

(i)extremely patient

(ii) extremely kind or honest. Which of the above values you prefer more?

The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 isa multiple of 4, is

• $\frac{4}{15}$

• $\frac{2}{12}$

• $\frac{1}{5}$

• $\frac{1}{3}$

In a family of 3 children, the probability of having at least one boy is

• $\frac{7}{8}$

• $\frac{1}{8}$

• $\frac{5}{8}$

• $\frac{3}{4}$

Two different dice are tossed together. Find the probability

(i) That the number on each die is even.

(ii) That the sum of numbers appearing on the two dice is 5.

All the red face cards are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is

(i) of red colour

(ii) a queen

(iii) an ace

(iv) a face card