Question

Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out from the bag at random. What is the probability that (a) card taken out is an even number (b) the selected number is their average (c) the number is divisible by 2 or 3 (d) the number is divisible by 2 and 3 (e) number is divisible by 5.

Answer 1

The probability that:

(a) a card taken out is an even number is 9/17

(b) the selected number is their average is 0 because there are no two numbers in the set whose average is an integer.

(c) the number is divisible by 2 or 3 is 11/17

(d) the number is divisible by 2 and 3 is 3/17

(e) number is divisible by 5 is 3/17