Question

5. find the sample space for the sex of 4 children that brenda and daniel wants to have. Find the probabilities of they having:

3 boys and 2 girls

2 boys and 2 girls

All boys and no girls

please show work

Step 1

**Sample space of an experiment:**

The set of all possible outcomes of a random experiment is called sample space.

Here, the random experiment consisting sex of the four children that Brenda and Daniel want to have. The letter *G *in the sample Space denotes a girl child and letter *B* denote a boy child. Therefore the sample space is given by:

Step 2

The probability of an event is given by the formula:

Step 3

From the sample space it is clear that no sample point contain 3 boys and 2...

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