Boys and Girls: Suppose a couple plans to have two children and the probability of having...
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Statistics
Boys and Girls: Suppose a couple plans to havetwo children and the probability of having a girl is 0.50.
(a) What is the sample space for the gender outcomes?
{bb, bg, gg}
{b,g}Â Â Â Â
{bb, bg, gb, gg}
{bb, gg}
(b) What is the probability that the couple has one boy and onegirl?
1 3
1 4
    Â
1 2
3 4
(c) What is the probability that the couple will have at least onegirl?
1 4
1 3
    Â
3 4
1 2
(d) What is the probability that the couple will have no girls?
1 2
1 3
    Â
1 4
3 4
Boys and Girls: Suppose a couple plans to havetwo children and the probability of having a girl is 0.50.
(a) What is the sample space for the gender outcomes?
{bb, bg, gg}
{b,g}Â Â Â Â
{bb, bg, gb, gg}
{bb, gg}
(b) What is the probability that the couple has one boy and onegirl?
1 |
3 |
1 |
4 |
    Â
1 |
2 |
3 |
4 |
(c) What is the probability that the couple will have at least onegirl?
1 |
4 |
1 |
3 |
    Â
3 |
4 |
1 |
2 |
(d) What is the probability that the couple will have no girls?
1 |
2 |
1 |
3 |
    Â
1 |
4 |
3 |
4 |
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