Given the inheritance pattern of coat color in rats described in ...

Question

Given the inheritance pattern of coat color in rats described in Problem 17, predict the genotype and phenotype of the parents who produced the following offspring:

27/64 gray: 16/64 albino: 9/64 yellow: 9/64 black: 3/64 cream

Accepted Answer

Hey everyone. Let's take a look at this question together regarding some rule and the product rule of probability, which of the following statements is true. Let's recall what we know about what the sum rule is and what the product rule is to figure out which of the following answer choices here are true. Starting off with answer choice A. We see the probabilities are multiplied in the sum rule while they are added in the product. Well we automatically know that answer choice A. Is incorrect because we know that the sum rule does not multiply the probabilities and in the product rule they are not added so answer choice A. Is incorrect. Answer choice B says the probabilities are added in the sum rule and they are multiplied in the product rule which we know is true. So let's go ahead and make a mark and just double check with answer choice C. N. D. To make sure that answer choice B. Is the only correct one here. Answer choice C. Says when events take place in more than one way the product rule is applied. We know that answer choice C. Is incorrect because events that take place in more than one way are determined using the sum rule and not the product rule. So this is the sum rule. So answer choice C. Is also incorrect. And then lastly answer choice D. Says the sum rule is used when two separate events occur simultaneously which we also know is incorrect because we know that the product rule is what is used when we have two separate events that occur at the same time, like when we have a pea plant, and we want to know the probability of that plant being both yellow and wrinkled. We would use the product rule because we would get the probability of the plant being yellow and the probability of the plant being wrinkled and multiply them together. So that means that answer choice B is the only answer choice here. That is a true statement. I hope you found this video to be helpful. Thank you and goodbye.

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Given the inheritance pattern of coat color in rats described in Problem 17, predict the genotype and phenotype of the parents who produced the following offspring: 27/64 gray: 16/64 albino: 9/64 yellow: 9/64 black: 3/64 cream