Homework Soursea What is the probability that a randomly selected child wil
a. What is the probability that a randomly selected child will have red hair, given that he or she has straight hair?
b. If B is the event of a child having brown hair, find the probability of the complement of B.
c. In words, what does the complement of B represent?
| HAIR TYPE | BROWN | BLONDE | BLACK | RED | TOTALS |
| WAVY | 20 | 5 | 15 | 3 | 43 |
| STRAIGHT | 80 | 15 | 65 | 12 | 172 |
| TOTAL | 100 | 20 | 80 | 15 | 215 |
Solution
a.
P(red hair, given that he or she has straight hair) = P( red hair & stright hair) / P( Startight hair) = (12/215) / (172/215) = 12/172 = 0.06976
b.
Event B = Child having Brown Hair = 100
Compliment of B = Child is n\'t having Brown Hair = 115
p( B Compliment) = 115/215 = 0.53488
c.
Child is having any other Hair type other Brown, it could be Blonde, Black or red.
