You and a friend each randomly draw a card from a standard deck. What is the probability that at least one of you is holding a face card (jack, queen, or king)?

Question

asked Jan 8, 2018 56.4k views

2 Answers

Sidney De Moraes · Answer 1 · 2018-01-13T02:11:13+0000

Answer:

0.24

Explanation:

Total cards = 52

Face cards = heart {K,Q,J} , Spade {K,Q,J} , Club {K,Q,J} , Diamond{K,Q,J} = 12

Now we are given that You and a friend each randomly draw a card from a standard deck.

Probability that no one getting face card:

Favorable events = total cards - face cards = 52 -12= 40

Total cards = 52

So, probability that no one is getting face card =
(40)/(52) =0.76

Now we are supposed to find the probability that at least one of you is holding a face card

So, probability = 1 - probability that no one is getting face card

=1 - 0.76

= 0.24

So, probability that at least one of you is holding a face card is 0.24