Two dice are thrown at the same time and the product of numbers appear

1.	Two dice are thrown at the same time and the product of numbers appearing on them isnoted. Find the probability that the product is a prime number
Answer» GIven that two dice are rolled. Then the probability of outcomes n(S) = 6 * 6 = 36. Let E be the event of getting a product less than 9. The number whose product is less than 9 = ,{1,2},{1,3},{1,5},{2,1},}{3,1},,{5,1}, = 6 Therefore the required probability P(E) = n(E)/n(S) = 6/36 = 1/6

Two dice are thrown at the same time and the product of numbers appearing on them isnoted. Find the probability that the product is a prime number

Answer»

GIven that two dice are rolled.

Then the probability of outcomes n(S) = 6 * 6

= 36.

Let E be the event of getting a product less than 9.

The number whose product is less than 9

= ,{1,2},{1,3},{1,5},{2,1},}{3,1},,{5,1},

= 6

Therefore the required probability

P(E) = n(E)/n(S)

= 6/36

= 1/6