SOLUTION: 1. Let a coin and a die be tossed; let the sample space S consists of the twelve elements: 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

Question 1204279: 1. Let a coin and a die be tossed; let the sample space S consists of the twelve elements:
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}
ii. B= {a prime number appears}
iii. C= {tails and an odd number appear}
b. Express explicitly the event that:
i. A or B occurs.
ii. B andC occurs.
iii. Only B occurs.
. c. Which of the events A,B and C are mutually exclusive?

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

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

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