Question

Can someone help?

Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a heart and then a spade?

I think it's either 13/52 or 26/52

Answer 1

Yeah I can help

Answer 2

Thank you.

Answer 3

So how many hearts are there in a deck of cards?

Answer 4

13

Answer 5

And how many spade?

Answer 6

The same, 13.

Answer 7

So let A denote the event that a heart is drawn and B denote the event that a spade is drawn.
Then P(A)=13/52=1/4 and P(B)=13/52=1/4.
Required probability=P(AB)=P(A)P(B) since the events are independent =(1/4)*(1/4)=1/16

Answer 8

@DestinyJohnson

Answer 9

so the answer is 1/16?

Answer 10

yes

Answer 11

Wow, I was way off xD, thank you for your help though. I appreciate it.