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sertanlavr [38]
3 years ago
12

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 health outcomes​ (using h for healthy and s for sick​) of two children.
b. assuming that the outcomes listed in part​ (a) were equally​ likely, find the probability of getting two healthy children.
c. find the probability of getting exactly one healthy child and one sick child.
Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Solution:

we havebeen asked to write

a. construct a similar sample space for the possible health outcomes​ (using h for healthy and s for sick​) of two children.

Sample space=\left \{HH, HS,SH,SS\right \}

Where S=Sick, H=Healthy

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

From the sample sapce its clear that

Total number of outcomes=4   (\left \{HH, HS,SH,SS\right \})

Favourable Outcome=1        ({HH})

Hence the Probability=\frac{1}{4}\\

c. find the probability of getting exactly one healthy child and one sick child.

From the sample space in part a, its clear that

Total number of possible out come =4          (\left \{HH, HS,SH,SS\right \})

Favourable outcome=2                                 ({ HS,SH})

Hence the Probability=\frac{2}{4}=\frac{1}{2}\\

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