A small deck of 5 cards consists of 3 red Jards and 2 green cards. Draw 7 times with replacement.
Find the probability that a red card is drawn exactly 3 times.

Approximately .

Step-by-step explanation:

The cards were drawn with replacement. Therefore, the probability of drawing a red card will be at every one of the seven draws. The probability of not drawing a red card would be .

One way to get three red cards out of the seven draws would be . That corresponds to a probability of .

However, there are many other ways to get three red cards during the seven draws. For example:

There are such ways in total to choose three draws out of seven draws.

These ways are mutually-exclusive. Each of these ways has a probability of . The probability for getting a red card on exactly three out of the seven draws would be:

.

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