Cards marked with numbers 3,4,5 50 are placed in a bag and mixed thoroughly - Maths - Probability

Question

Cards marked with numbers 3,4,5 50 are placed in a bag and mixed
thoroughly one card is drawn at random from the bag Find the
probability that number on the card drawn is: (a) Divisible by 7
(b) A perfect square

Varun.Rawat · Accepted Answer

Let S be the sample space
S = 3,4,5,6, 50nS = 481
Let E be the event of getting a card bearing a number that is divisible by 7
E = 7,14,21,28,35,42,49nE = 7PE = nEnS = 7482
Let F be the event of getting a card bearing a perfect square number
F = 4,9,16,25,36,49nF = 6PF = nFnS = 648 = 18

Cards marked with numbers 3,4,5.......50 are placed in a bag and mixed thoroughly . one card is drawn at random from the bag. Find the probability that number on the card drawn is: (a) Divisible by 7. (b) A perfect square.