Question 1204279

S={H 1, H 2,H 3 , H 4, H 5 ,H 6,T 1 ,T 2 ,T 3 ,T 4 ,T 5,T 6}

a. Express explicitly the following events:

i. A= {heads and an even number appear}

A = {H 2, H 4, H 6, T 2, T 4, T 6}

ii. B= {a prime number appears}

B = {H 2, H 3, H 5, T 2, T 3, T 5}


iii. C= {tails and an odd number appear}

C = {T 1, T 3, T 5}


b. Express explicitly the event that:
i. A or B occurs.

AU B = {H 2, H 3, H 4, H 5, H 6, T 1, T 2, T 3, T 4, T 5, T 6}

ii. B andC occurs.B n C = {T 3, T 5}


iii. Only B occurs.
Event B from above

. c. Which of the events A,B and C are mutually exclusive?

Find the intersection set of A B, BC, and AC.

If you find any of intersection set empty then they are mutually exclusive