According to a study, 50 percent of men and 56.3 percent of women have attached left earlobes. Consider a family with 3 children where the probability of each being a male or a female is equally likely. If the elder child is a girl with attached left earlobe, find the probability that the other two children are boys with attached left earlobes. Enter the answer upto 4 decimal accuracy.
Answers
Answer:
1/16
Step-by-step explanation:
1/4 * 1/2 * 1/2
Given : 50 percent of men and 56.3 percent of women have attached left earlobes
a family with 3 children where the probability of each being a male or a female is equally likely
elder child is a girl with attached left earlobe
To Find : probability that the other two children are boys with attached left earlobes.
Solution:
Probability of boy = ( 1/2)
Probability of attached left earlobes of boy /man = 50 % = 1/2
Probability that both boys with attached left earlobes
= { (1/2)(1/2)}{(1/2)(1/2)}
= (1/4)(1/4)
= 1/16
= 0.0625
probability that the other two children are boys with attached left earlobes = 0.0625
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