Please help! A hat has the following marbles in it: 5 gray, 3 red, 6 white, 2 yellow and 4 green. What is the probability of pic

Question

Please help! A hat has the following marbles in it: 5 gray, 3 red, 6 white, 2 yellow and 4 green.

What is the probability of picking a gray marble, replacing the marble in the hat, and then picking a yellow marble?
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Lệ Thu 3 years 2021-08-07T08:04:32+00:00 1 Answers 10 views 0

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  1. quangkhai
    0
    2021-08-07T08:05:55+00:00
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    Answer:

    1/40

    Step-by-step explanation:

    Probability: (number of ways to achieve the desired result / number of possible results)

    For example, if we want a coin to land on heads:

    We know there is one way for it to land on heads and two possible outcomes. Thus, the possibility of flipping a head is 1/2.

    Using this, we know that there are 5 grey marbles (the desired result) and there are  (5 + 3 + 6 + 2 + 4) total possible outcomes. The probability of drawing a grey marble is then:

    5 / (5 + 3 + 6 + 2 + 4) =

    5/20 =

    1/4

    We also know that there are 2 yellow marbles, so the probability of drawing one would be: 2 / 20 = 1/10

    To find the probability of both of these events happening right after each other, multiply the probability of them each happening together.

    1/4 * 1/10 = 1/40 chance of picking a grey marble and then a yellow marble.

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