Question

What are the odds that you will pick an ace from a standard deck of 52 cards?

1:12

1:14

2:13

5:21

Answer 1

Odds of Event = 1:12

A is correct.

Explanation:

We are given a standard deck of 52 cards.

We will pick an ace from 52 card.

Let A be event to pick ace.

Number of ace card = 4

`P(A)=(4)/(52)\Rightarrow (1)/(13)`

We need to find odds

Formula for odds

`\text{Odds of Event}=(P(A))/(1-P(A))`

`\text{Odds of Event}=((1)/(13))/(1-(1)/(13))`

`\text{Odds of Event}=((1)/(13))/((12)/(13))`

`\text{Odds of Event}=(1)/(12)`

Thus, Odds of Event = 1:12