acouple were planning to have three chidren, the sample space summarizing the ge
ID: 3324600 • Letter: A
Question
acouple were planning to have three chidren, the sample space summarizing the gender out ones would be bb bbg bgh, bggpr.gbg ggim a Construct a similar sample space for the possible hair color outcomes (using b for brown-haired and r for red-headed) of two children b. Assuming that the outcomes listed in part (a) were equally likely, find the probability of getting two brown-haired children Find the probability of getting exacdly one brown-haired child and one red-headed child a. What is the sample space? (use a comma to separate answers as nooded,) b. Find the probability of getting two brown-haired children (Type an exact answer) G. Find the probability of getting one brown-haired child and one red-headed child (Type an exact answer.)Explanation / Answer
a) The sample space for 2 children is given as:
S = { bb, br, rb, rr }
This is the required sample space here.
b) Assuming the above 4 outcomes are equally likely, therefore the probability of getting two brown haired children is computed here as:
= n( bb ) / 4
= 1/ 4
= 0.25
Therefore 0.25 is the required probability here.
c) The required probability here is computed as:
= n(rb or br ) / 4
= 2/ 4
= 0.5
Therefore 0.5 is the required probability here.
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