Question

Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5 ?

Answer 1

Explanation:

Given that Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random

Since with replacement, repitition of numbers is possible

Possible drawings to give sum of 8 is

(2,6) (6,2) (3,5)(5,3)(4,4)

Out of this favourable events with 5 = (3,5) (5,3)

Hence required probability =
`(2)/(5) =0.4`