Question

two dice are rolled simultaneously. what is the probability of getting. a prime number on each die, a total of 9or11

Answer 1

Answer:

Step-by-step explanation:

Total sample for two dice rolled simultaneously is 36.

(i) Prime numbers in two dice are

(2, 2), (2, 3), (2, 5), (3, 2), (3, 3),(3,5), (5, 2), (5, 3) and (5, 5)

No. Of prime number set is 9.

P(prime number s in two dice)

= no. Of prime number set/total sample space = 9/36 = 1/9

(ii) a total of 9 or 11

(4, 5), (5,4), (5,6), (6, 5)

No. Of possible set = 4

P(a total of 9 or 11) = 4/36 = 1/9

Answer 2

Solution is in the attached image..