Question

If you pick a card from a standard deck find the following probabilities 1. P(odd number card or king) =2. P(red card or face card) =Make sure your answer is in reduce fraction form and no work is needed in answer space

Answer 1

Assuming that:

There are a total of 52 cards in a deck.

Numbers 2 through 10

Face card: jack, queen and king.

P(odd number card or king):

Odd number = 4

King = 4

$P(\text{odd number card or king) = }\frac{odd\text{ number + king}}{\text{total}}\text{=}\frac{4+4}{52}=\frac{8}{52}\approx\text{ 0.15}$

P(odd number card or king)= 0.15

P(red card or face card):

Red card = 13 X 2 = 26

Face card ( jacks, queens, and kings) = 4 + 4 + 4 = 16

$P(\text{red card or face card)}=\frac{red\text{ cards + face card}}{\text{Total}}=\frac{26+16}{52}=\frac{42}{52}\approx0.81$

P(red card or face card) = 0.81