Among the contestants in a competition are 50 women and 29 men.If 5 winners are randomly selected,what is the probability that they are all men? Round your answer to five decimal places.

A) 0.01256
B) 0.05605
C) 0.00527
D) 0.10156
E) 0.06564

Question

cindy somers · Accepted Answer

Final Answer : C, Explanation :  The probability of selecting a man in first draw = 29/79The probability of selecting a man in second draw = 28/78 (since one man has already been selected in the first draw and the total number of people remaining for the second draw is 78)The probability of selecting a man in third draw = 27/77The probability of selecting a man in fourth draw = 26/76The probability of selecting a man in fifth draw = 25/75Now, we need to find the probability of all men being selected, which is obtained by multiplying probabilities of all five draws taking place.Therefore, the required probability = (29/79) x (28/78) x (27/77) x (26/76) x (25/75) = 0.00527 (rounded to five decimal places)Hence, the best choice is C.

Among the contestants in a competition are 50 women and 29 men.If 5 winners are randomly selected,what is the probability that they are all men? Round your answer to five decimal places.

A) 0.01256
B) 0.05605
C) 0.00527
D) 0.10156
E) 0.06564

Definitions

Learning Objectives

Learning Objectives

Related questions

Among the contestants in a competition are 50 women and 29 men.If 5 winners are randomly selected,what is the probability that they are all men? Round your answer to five decimal places.A) 0.01256B) 0.05605C) 0.00527D) 0.10156E) 0.06564

Definitions

Learning Objectives

Learning Objectives

Related questions

Among the contestants in a competition are 50 women and 29 men.If 5 winners are randomly selected,what is the probability that they are all men? Round your answer to five decimal places.

A) 0.01256
B) 0.05605
C) 0.00527
D) 0.10156
E) 0.06564