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

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

anonymous · Answer

@rational help

♪chibiterasu · Answer

How many jacks are in a deck of 52 cards?

anonymous · Answer

13 clubs. 4 jacks

anonymous · Answer

true

♪chibiterasu · Answer

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

anonymous · Answer

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

♪chibiterasu · Answer

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

anonymous · Answer

so what should the probability be?

♪chibiterasu · Answer

Yeah.

anonymous · Answer

keep on mind there are 52 total cards

♪chibiterasu · Answer

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.

$$\frac {16 \div 4}{52 \div 4}$$

anonymous · Answer

4/13

anonymous · Answer

That's right