Question

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)?
10/17

100/169

3/13

7/17

Answer 1

Answer:

it is 16/52 so it is b=none of these

Step-by-step explanation:

Answer 2

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

Total number of cards in deck = 52

Total number of face cards = 12

Number of cards are drawn = 2

Probability of getting at least one is holding a face card is given by

P(X=1)+P(X=2)

$=\dfrac{^{12}C_1\times ^{40}C_1}{^{52}C_2}+\dfrac{^{12}C_2}{^{52}C_2}\\\\=\dfrac{12\times 40}{1326}+\dfrac{66}{1326}\\\\=\dfrac{480}{1326}+\dfrac{66}{1326}\\\\=\dfrac{546}{1326}\\\\=\dfrac{7}{17}$

Hence, Fourth option is correct.