A compound experiment consists of drawing at random twice without replacing from a jar with 3 red, 3 white, and 2 black marbles. What is the probability of getting first a red and then a black marble?

Answer :

The solution to your problem about the probability of getting first a red and then a black marble is as follows:

(3 red / 8 total) * (2 black / 7 total) = 3/28 

Therefore, the probability of getting first a red and then a black marble is 3/28.

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The probability of getting first a red and then a black marble is 3/28.

What is probability?

The chance of happening an event out of all the possible outcomes is called the probability of an event.

The probability of red marble is P(Red) = Total red marbles/ Total marbles

P(Red) = 3/8

The probability of black marble is P(Black) = Total Black marbles/ Total marbles left considering no replacement of marble.

P(Black) = 2/7

The probability of getting first a red and then a black marble will be

P(Red and Black) = P(Red) x P(Black) = 3/8 x 2/7

P(Red and Black) = 3/28

Therefore, the probability of getting first a red and then a black marble is 3/28.

Learn more about probability.

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