Find P(E')

Question

An experiment consist of drawing 1 card from a standard 52 card deck. Let E be the event that card drawn is a spade. Find P(E')

Answer 1

The event E is drawing a spade from a standard 52-card deck. Because there are 13 spades in the deck and the total number of cards is 52, that means that the probability of event E is: P(E)=13/52 = 1/4

The event E' is the complement of E, which means the event that the card drawn is not a spade ... that means you can find it by taking 1 - P(E).

P(E′) = 1−P(E) = 1−1/4 = 3/4

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

 P(E') = 1  - P(E)