Question

1. yuri is playing a card game. he will lose if he draws a face card (j, q, or k) from a full deck of standard playing cards. what is the theoretical probability that yuri will win his first draw? a 6% b 9% c 23% d 77%

Explanation:

Step1: Determine total and non - face cards

A standard deck has 52 cards. There are 12 face cards (4 Jacks, 4 Queens, 4 Kings). So non - face cards are $52 - 12=40$.

Step2: Calculate probability of winning

The probability $P$ of winning (drawing a non - face card) is the number of favorable outcomes (non - face cards) divided by the number of total outcomes (total cards). So $P=\frac{40}{52}=\frac{10}{13}\approx 0.7692\approx77\%$.

Answer:

D. 77%