Question

A few of my squads have captured 35 men. Some soldiers, some peasants, some local, some foreign. The fool I call my Lieutenant has taken their armor and now I have no way of identifying who is who. I need to make the right people talk. Here is what I know,” -

35 total men have been taken, prisoner

23 are soldiers, the rest are peasants

9 of the men are from Temeria

16 of the men are from Cintra

There is only 1 peasant from Redania

7 of the soldiers are from Cintra

A: What is the probability that a randomly selected prisoner is from Redania? (Four: decimals)

B: What is the probability that a randomly selected prisoner is a peasant? (Four decimal places)

C: What is the probability that a randomly selected prisoner is either a peasant, or from Cintra? (Four decimal places)

D: What is the probability that a randomly selected prisoner is a Temerian soldier? (Four decimal places)

E: What is the probability that a randomly selected prisoner is from Redania, given it is a soldier? (Four decimal places)

Answer 1

A: probability that a randomly selected prisoner is from Redania

total men from redania = 35 - men from temeria - men form cintra

= 35-9-16

= 10

P(randomly selected prisoner is from Redania) = (prisoners from Redania)/total prisoners

= 10/35

B: probability that a randomly selected prisoner is a peasant

no. of peasants = 35 - no. of soldiers = 35-23 = 12

P(randomly selected prisoner is a peasant) = (prisoners that are peasants)/total prisoners

= 12/35

C: probability that a randomly selected prisoner is either a peasant, or from Cintra

no. of men that are peasant or from cintra = no. of peasant + no. of soldier from cintra

= 12+7 = 19

P(randomly selected prisoner is either a peasant, or from Cintra)

= (no. of men that are peasant or from cintra)/total prisoners

= 19/35

D: probability that a randomly selected prisoner is a Temerian soldier

no. of temerian soldier = no. of soldier - no. of soldier from cintra - no. of soldier from redania

= 23 - 7 - (10-1)

= 7

P(randomly selected prisoner is a Temerian soldier)

= no. of temerian soldier / total prisoners

= 7 /35

= 1/5

= 0.20

E: probability that a randomly selected prisoner is from Redania, given it is a soldier

P(redania | soldier) = no. of redanian soldier / no. of soldier

= (10-1)/23

= 9/23

(please UPVOTE)