Question

a basket contains $7$ green marbles and $5$ red marbles. a marble is taken from the basket at random; its color is recorded, then the marble is returned to the basket. a second marble is then taken from the basket at random, and its color is recorded. what is the probability that the same color is recorded both times?

Answer 1

35/864 is the probability that the same color is recorded both times .

How does probability explain work?

• Simply put, probability measures how probable something is to occur.
• We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out.
• Statistics describes the examination of events subject to probability.

7/12*1/2 = 7/24

red marbles =  5/12*1/3 ⇒ 5/36

the probability =  7/24*5/36 ⇒ 35/864

Learn more about probability

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