Question

learning goals from lesson 5.4
✓ i can find probabilities of compound events. (standards: s.cp.1, s.cp.7)
lesson reflection (circle one)
starting... getting there... got it!
ace 2 3 4 5 6 7 8 9 10 jack queen king
club (♣)
spade (♦)
heart (♥)
diamond (♠)

1. darren randomly chooses a card from a standard deck of 52 playing cards. what is the probability that darren chooses a king or a queen?

a. \\(\frac{2}{52}\\)
c. \\(\frac{8}{52}\\)
b. \\(\frac{4}{52}\\)
d. \\(\frac{13}{52}\\)

Explanation:

Step1: Identify number of kings and queens

In a standard deck, there are 4 kings (one per suit) and 4 queens (one per suit). So total favorable outcomes (king or queen) = 4 + 4 = 8.

Step2: Total number of cards

A standard deck has 52 cards, so total possible outcomes = 52.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$ = $\frac{8}{52}$.

Answer:

c. $\frac{8}{52}$