Question

You roll a 6-sided die.

what is p(even or factor of 45)?
write your answer as a percentage.

Answer 1

p(even or factor of 45) = 100%

Explanation:

let S₁ be the set of factors of 45 that are less or equal to 6:

S₁ : {1 , 3 , 5}

let S₂ be the set of the even numbers that are less or equal to 6:

S₂ : {2 , 4 , 6}

S₁ ∪ S₂ = {1 ,2 , 3 , 4 , 5 , 6}

⇒ card(S₁ ∪ S₂) = 6

Then

p(even or factor of 45) = p(S₁ ∪ S₂) = 6/6 = 1

Therefore

p(even or factor of 45) = 100%