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In a scientific study there are 7 guinea pigs, 4 of which are pregnant. If 3 are selected at random without replacement, find the probability that all are pregnant. Enter your answer as a fraction or a decimal rounded to 3 decimal places.

Sagot :

The chances of selecting a pregnant guinea pig involves probability

The probability that all are pregnant is 0.187

How to determine the probability

Probabilities are used to determine the chances of events

From the question, 4 out of 7 guinea pigs are pregnant.

So, the probability that a selected guinea pig is pregnant is:

[tex]p = \frac 47[/tex]

The probability that all the selected 3 are pregnant is then calculated as:

[tex]p = \frac 47 * \frac 47 * \frac 47[/tex]

Evaluate the product

[tex]p = 0.187[/tex]

Hence, the probability that all are pregnant is 0.187

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