Question

A box contains 10 cards numbered 5,10, 15, .........., 50. A card is chosen at random from the box. Find the probability of getting(a) a multiple of 3.(b) a 2-digit numberwhose sum of digits is a prime number.

Answer 1

The sample space has 6 possible outcomes-

S={1,2,3,4,5,6}.

Let all outcomes are equally likely(fair dice).

Hence Probability of any one outcome occurring= 1/6.

The event that we get that an even number on tossing the die can occur in 3 possible ways.

Let E denote this event.

E={2,4,6}

Now P(E)= 3×1/6=1/3

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