If a couple were planning to have three children, the sample space summarizing t

Question

If a couple were planning to have three children, the sample space summarizing the gender outcomes would be: bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg.

a. Construct a similar sample space for the possible gender outcomes (using b for boy and g for girl ) of two children.

b. Assuming that the outcomes listed in part (a) were equally likely, find the probability of getting two boy children.

c. Find the probability of getting exactly one boy child and one girl child.

a. What is the sample space?___________ (Use a comma to separate answers as needed.)

b. Find the probability of getting two boy children___________ (Type an exact answer.)

c. Find the probability of getting one boyboy child and one girl child.___________(Type an exact answer.)

Explanation / Answer

a)

There are 4 possibilities, {gg, bb, gb, bg} [ANSWER]

*******************

b)

Only 1 out of 4 has both boys, so

P(2 boys) = 1/4 or 0.25 [ANSWER]

*********************

c)

There are two 1 boy, 1 girl combinations, gb and bg.

Hence,

P(1b, 1g) = 2/4 = 1/2 or 0.5 [ANSWER]

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.