asked 84.3k views
25 votes
Cathy is playing a game with a set of 24 cards equally divided into 4 colors (red, green, blue, and yellow). Find the probability of her randomly selecting a red card, not replacing it, and then selecting another red card.

asked
User Yccteam
by
7.6k points

1 Answer

8 votes

Answer: 0.054

Explanation:

Cathy is playing a game with a set of 24 cards equally divided into 4 colors. This means that each card has 24/4 = 6 colors.

The probability of selecting the first red card will be 6/24. The probability of selecting the second one will be 5/23 without replacement.

Therefore, probability of her randomly selecting a red card, not replacing it, and then selecting another red card will be:

= 6/24 × 5/23

= 30/552

= 0.054

answered
User Thomas Wouters
by
8.3k points
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