Question

Chloe is performing a magic trick where she randomly turns over three cards from a set that contains 10 red cards and 5 black cards. Which of the following is the probability all three cards are red?

Answer 1

The probability of drawing all three red cards can be calculated using the concept of independent events. To calculate the probability, we need to multiply the probabilities of drawing a red card on each draw together. The probability is approximately 20.5%.

Step-by-step explanation:

The probability of drawing all three red cards can be calculated using the concept of independent events.

1. First, we need to calculate the probability of drawing a red card on the first draw. Since there are 10 red cards and 15 total cards, the probability is 10/15.
2. Next, we need to calculate the probability of drawing a red card on the second draw. After the first red card is drawn, there are 9 red cards and 14 total cards remaining. So, the probability is 9/14.
3. Finally, the probability of drawing a red card on the third draw is 8/13.

To calculate the probability of all three events happening, we multiply the probabilities together: (10/15) x (9/14) x (8/13) = 0.205 or approximately 20.5%.