You play a game that requires rolling a six-sided die and then randomly choosing a colored card from a deck containing 3 red car

Question

2 years ago

7

ds, 6 blue cards, and 8 yellow cards. Find the probability that you will roll a 5 on the die and then choose a red card.

1 answer:

8090 [49] · Answer 1 · 2023-09-09T11:36:40+03:00

The probability of getting a red card and rolling a 5 is = 3/85

<h3>How to find the probability?</h3>

First, we want to find the probability of rolling a 5.

There are 6 outcomes on the six-sided die, so the probability of getting a particular value is:

P = 1/5.

Then, the probability of randomly drawing a red card is given by the quotient between the number of red cards and the total number of cards:

P' = 3/(3 + 6 + 8) = 3/17

The joint probability is given by the product between the individual probabilities:

prob = P*P' = (1/5)*(3/17) = 3/85

If you want to learn more about probability:

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