# Solution - Probability Examples and Solutions

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ConceptProbability Examples and Solutions

#### Question

A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is:

(A) 2/3

(B) 1/6

(C) 1/3

(D) 11/30

#### Solution

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#### Similar questions

Two different dice are thrown together. Find the probability of:

(i) getting a number greater than 3 on each die

(ii) getting a total of 6 or 7 of the numbers on two dice

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Two digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 where digits are not repeated.

P is the event that the number so formed is even.
Q is the event that the number so formed is greater than 50.
R is the event that the number so formed is divisible by 3.
Then write the sample space S and events P, Q, R using set notation.

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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

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

(A)4/15

(B)2/15

(C)1/5

(D)1/3

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In a single throw of a pair of different dice, what is the probability of getting a total of 9 or 11?

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S