Question

Sam picked a card from a standard deck, looked at it, and then put it back. He then picked a second card. What is the probability that Sam picked a heart or a king on either pick?

Answer 1

Answer: Probability of getting heart or king is
`(4)/(13)`

Explanation:

Since we have given that

Number of hearts in a deck = 13

Number of king in a deck = 4

Number of king of heart in deck = 1

So, Number of king without heart in a deck is given by

`4-1\\\\=3`

So, According to question,

Probability that Sam picked a heart or a king on either pick is given by

`P(Heart\ or\ king)=(13)/(52)+(3)/(52)\\\\P(Heart\ or\ king)=(13+3)/(52)=(16)/(52)=(4)/(13)`

Hence, Probability of getting heart or king is
`(4)/(13)`