Question

If A is the event of rolling a prime number (2,3, &5) with a die. B is the event of rolling a perfect square (1&4) with a die. C is the event of rolling an even number (2, 4, & 6) with a die.

2 is stated carcable 36. If A is the event of rolling a prime number (2,3,& 5) with a die. B is the event of rolling a perfect square (1 & 4) with a die. C is the event of rolling an even number (2, 4, & 6) with a die. Find: a) P(AUB) (2 marks) b) P(CUB) (2 marks)

Answer 1

A = Event of rolling a prime number with a die

A = {2, 3, 5}

B = Event of rolling a perfect square with a die

B = {1, 4}

C = Event of rolling an even number with a die

C = {2, 4, 6}

(a)

(A U B) = {1, 2, 3, 4, 5}

Outcomes of (A U B) = 5

Total possible outcomes on a die = 6

P (A U B) = Outcomes of (A U B) / Total possible outcomes

P (A U B) = 5/6

(b)

(C U B) = {1, 2, 4, 6}

Outcomes of (C U B) = 4

Total possible outcomes on a die = 6

P (C U B) = Outcomes of (C U B) / Total possible outcomes

P (C U B) = 4/6

P (C U B) = 2/3