In a scientific study there are 7 guinea pigs, 4 of which are pregnant. If 3 are selected at random without replacement, find th

Question

2 years ago

9

e probability that all are pregnant. Enter your answer as a fraction or a decimal rounded to 3 decimal places.

1 answer:

Cerrena [4.2K] · Answer 1 · 2023-03-15T15:52:42+03:00

The chances of selecting a pregnant guinea pig involves probability

The probability that all are pregnant is 0.187

<h3>How to determine the probability</h3>

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:

$p = \frac 47$

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

$p = \frac 47 * \frac 47 * \frac 47$

Evaluate the product

$p = 0.187$

Hence, the probability that all are pregnant is 0.187