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?

Respuesta :

Answer: Probability of getting heart or king is [tex]\frac{4}{13}[/tex]

Step-by-step 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

[tex]4-1\\\\=3[/tex]

So, According to question,

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

[tex]P(Heart\ or\ king)=\frac{13}{52}+\frac{3}{52}\\\\P(Heart\ or\ king)=\frac{13+3}{52}=\frac{16}{52}=\frac{4}{13}[/tex]

Hence, Probability of getting heart or king is [tex]\frac{4}{13}[/tex]