Question

If the frequency of having light colored hair in the human population is 0.4, and that of having dimples is 0.5, then what is the probability that any given individual will have either light colored hair or dimples or both? (Assume that these traits are independent of one another.)

Answer 1

As per the question:-1.Frequency of having light colored hair in Human population= 0.4 and 2.Frequency of having dimples= 0.5 So according to Addition Law of Probability::--> If both the events are independent of one another:- The probability that any given individual will have either light colored hair or dimple will be the sum of their respective frequency that is ::- 0.4 + 0.5= 0.9 This is the answer of the probability that any given individual is either have light colored hair or dimple. NOW YOU ALSO ASKED:- Probability of any given individual having both light colored hair and dimple.. NOW LAW OF MULTIPLICATION will be used. The probability y any given individual having both light colored hair and dimple will be the product of frequency of happening each event that will be equal to =0.4 x 0.5 =0.2 Hope it clears now...you are welcome to ask in comment box about the laws of the probability.......

Answer 2

Answer:

0.7

Explanation:

he probability that an individual will have either light colored hair or dimples or both can be calculated using the formula for the union of two events:

P(light colored hair or dimples) = P(light colored hair) + P(dimples) - P(light colored hair and dimples)

Given that the frequency of having light colored hair is 0.4 and that of having dimples is 0.5, we have:

P(light colored hair or dimples) = 0.4 + 0.5 - P(light colored hair and dimples)

Since the traits are assumed to be independent, the probability of having both light colored hair and dimples is simply the product of their individual probabilities:

P(light colored hair and dimples) = 0.4 * 0.5 = 0.2

Substituting this back into the original equation, we get:

P(light colored hair or dimples) = 0.4 + 0.5 - 0.2 = 0.7

Therefore, the probability that any given individual will have either light colored hair or dimples or both is 0.7.