Examples of probability )A gene is compared of two alleles. An allele can be eit

Question

Examples of probability )A gene is compared of two alleles. An allele can be either dominant or recessive. Suppose a husband and wife, who are both carriers of the sickle-cell anemia allele but do not have the disease, decide to have a child. Because both parents are carriers of the disease, each has one dominant normal-cell allele and one recessive sickle-cell allele. Therefore, the genotype of each patient is Ss. Each parent contributes one allele to his or her offspring, with each allele being equally likely. (a) List the possible genotypes of their offspring. (b) What is the probability that the offspring will have sickle-cell anemia? In other words, what is the probability the offspring will have genotype ss? Interpret this probability. (c)What is the probability that the offspring will not have sickle-cell anemia, but will be a carrier? 2. (A Flush) A flush in the card game of poker occurs if a player gets five cards that are all the same suit (clubs, diamonds, hearts, or spades). (a) Compute Ptfive clubs). (b) Compute the probability of being dealt a royal flush-(: the player gets the cards Ten, Jack, Queen, King, and Ace all in the same suit).

Explanation / Answer

(1)
(a) Possible genotypes
SS, ss, Ss

(b)
There are total 4 possible outcomes out of which only 1 is ss
Hence required probability is 1/4 = 0.25

(c)
There are two possible outcomes which are of the type Ss
Hence required probability is 2/4 = 0.5

(2)
(a) 5 cards from a deck of 52 cards can be selected in 52C5 ways.

5 clubs can be selected in 13C5 ways

Hence P(five clubs) = 13C5/52C5 = 0.000495198

(b)
royal flush can occur in only 4 ways

Hence required probability is 4/52C5

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