Question

What is the probability that a card picked at random from a 52-card deck of playing cards is a club or a jack?

4/13

7/26

3/13

1/52

Answer 1

@rational help

Answer 2

How many jacks are in a deck of 52 cards?

Answer 3

13 clubs. 4 jacks

Answer 4

true

Answer 5

Yes, but one of the Jacks will be a club.

Answer 6

one of those jacks is already a club so we have 16 possible cards

Answer 7

So we can say there are 16 outcomes rather than 17.

Answer 8

so what should the probability be?

Answer 9

Yeah.

Answer 10

keep on mind there are 52 total cards

Answer 11

So we can create the fraction: clubs and jacks --> 16/52 <-- total cards

We need to simplify this. Both 16 and 52 are divisible by 4, so we can simplify.

\[\frac {16 \div 4}{52 \div 4}\]

Answer 12

4/13

Answer 13

That's right