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wel
3 years ago
10

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ g

bb, gbg,​ ggb, ggg}. after identifying the sample space for a couple having four​ children, find the probability of getting ffour girls girls and no boys boys.
Mathematics
2 answers:
maria [59]3 years ago
7 0

Answer:

The probability of four girls is:

\dfrac{1}{16}

Step-by-step explanation:

The sample space for 4 children consist of 16 entries and is given by:

{bbbb,bbbg,bbgb,bgbb,gbbb,bbgg,bgbg,ggbb,gbbg,gggg,gggb,ggbg,gbgg,bggg,gbgb,bggb}

i.e. The total number of outcomes=16.

Now the number of outcomes of getting four girls or we can say no boys=1=Number of favourable outcomes {i.e. the outcome is gggg}

Hence,

The probability of getting four girls= (Number of favourable outcomes)/(Total number of outcomes)=1/16

Hence, the probability of four girls is: \dfrac{1}{16}


Makovka662 [10]3 years ago
6 0
The answer is 1/2^4 which 1/16 or 0.0625. there are 16 ways of getting either a girl or a boy in a limited order.
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