Question

6. Two dice of different colors has been rolled. Suppose the blue die is loaded whe
P(1) = P(3) = 1, P(2) = P(5) = P(6) = 1, P(4) = while the red die is fair. Let
be the event that the sum is even and B be the event that the sum is odd. Choose t]
correct statements from the following.
Easy 1 mar
(a) Events A and B are mutually exclusive.
(b) Events A and B are not independent.
(c) Events A and B are not mutually exclusive.
(d) Events A and B are independent.
(e) In general, any two mutually exclusive event with positive probability is indepe
dent.​

Answer 1

Answer:

red die is fair. Let

be the event that the sum is even and B be the event that the sum is odd. Choose t]

correct statements from the following.

Easy 1 mar

(a) Events A and B are mutually exclusive.

(b) Events A and B are not independent.

Answer 2

Answer:

Events A and B are mutually exclusive.

Explanation :

When two dices are rolled , we have n(S) = 36.

Now, A = event that the sum is even

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

B = event that the sum is odd

B = ( 1,2) , ( 1,4) , (1,6) , (2,1), (2,3), (2,5), (3,2) ,(3,4), (3,6), (4,1), (4,3), (4,5), (5,2), (5,4), (5,6),(6,1), (6,3), (6,5).

The intersection of A and B is 0.

Hence, they are mutually exclusive events.

#SPJ3