Question

plz solve this question

Answer 1

If two dice are rolled simultaneously,

Sample space,

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

n(S) = 36

1) Let A be the event that getting

prime number on each dice.

A= {(2,2),(2,3),(2,5),(3,2),(3,3),(3,5),(5,2).

(5,3),(5,5)}

n(A)= 9

P(A)= n(A)/n(S) = 9/36 = 1/4

2) Let B be the event that two

numbers obtained from two dice

are total of 9 or 11

B= {(3,6),(4,5),(5,4),(5,6),(6,3),(6,5)}

n(B) = 6

P(B) = n(B)/n(S) = 6/36 = 1/6