Question

1. A couple is planning to have 3 children.

1. Construct a tree diagram to represent all the possibilities for the genders of the 3 children.

2. How many outcomes are there in the sample space? ________________

(Your answer to this question should just be a number.)

3. List the sample space. (Make sure to write in a set inside braces { }.)

4. FOLLOW DIRECTIONS:
   For each of the following Part a’s: list the outcome(s) in the event. (These outcomes should be

selected from the outcomes you gave in the sample space above.)

For each of the following Part b’s: give the probability of the event.

            Write the probability as a fraction reduced to lowest terms.

i. Event K = having exactly 1 boy

           
                        a. List the outcomes in K:

           

            b. P(K) =

ii. Event L = having exactly 2 girls

            a. List the outcomes in L:

           

            b. P(L) =

iii. Event M = having at most 1 girl

            a. List the outcomes in M:

           

            b. P(M) =

5. Based on the answers in part D, were any of the events (K, L, or M) considered unusual? Explain.

Answer 1