Gold Prospecting Gold prospecting is the search for new deposits of gold within the earth. If a parcel of land has a gold deposit, then there is a 90% chance that bits of gold will be found in one of its streams. 2 However, gold can travel downstream into another parcel too! If a piece of land doesn't have a gold deposit, there is still a 40% chance that bits of gold are found in its streams. Only 30% of the parcels have gold deposits. Let D be the event that a parcel has a gold deposit and S be the event that gold may be found in its streams. i. Describe, in english, each of the probabilities below. (a) P(D) (b) P(D\S) (c) P(S®\D) ii. Compute P(S) iii. What is the probability that a parcel of land has a gold deposit given that no gold may be found in its streams?
Gold Prospecting Gold prospecting is the search for new deposits of gold within the earth. If a parcel of land has a gold deposit, then there is a 90% chance that bits of gold will be found in one of its streams. 2 However, gold can travel downstream into another parcel too! If a piece of land doesn't have a gold deposit, there is still a 40% chance that bits of gold are found in its streams. Only 30% of the parcels have gold deposits. Let D be the event that a parcel has a gold deposit and S be the event that gold may be found in its streams. i. Describe, in english, each of the probabilities below. (a) P(D) (b) P(D\S) (c) P(S®\D) ii. Compute P(S) iii. What is the probability that a parcel of land has a gold deposit given that no gold may be found in its streams?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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![Gold Prospecting
Gold prospecting is the search for new deposits of gold within the earth. If a parcel of land has
a gold deposit, then there is a 90% chance that bits of gold will be found in one of its streams.
However, gold can travel downstream into another parcel too! If a piece of land doesn't have a
gold deposit, there is still a 40% chance that bits of gold are found in its streams. Only 30% of the
parcels have gold deposits.
Let D be the event that a parcel has a gold deposit and S be the event that gold may be found in
its streams.
i. Describe, in english, each of the probabilities below.
(а) Р(D)
(b) P(D|S)
(c) P(S©\D)
ii. Compute P(S)
iii. What is the probability that a parcel of land has a gold deposit given that no gold may be
found in its streams?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10732faa-f9b7-4c12-81f1-19b5d255f419%2Fb48aade4-8169-471e-bab4-34be23dade05%2Fq84ti6j_processed.png&w=3840&q=75)
Transcribed Image Text:Gold Prospecting
Gold prospecting is the search for new deposits of gold within the earth. If a parcel of land has
a gold deposit, then there is a 90% chance that bits of gold will be found in one of its streams.
However, gold can travel downstream into another parcel too! If a piece of land doesn't have a
gold deposit, there is still a 40% chance that bits of gold are found in its streams. Only 30% of the
parcels have gold deposits.
Let D be the event that a parcel has a gold deposit and S be the event that gold may be found in
its streams.
i. Describe, in english, each of the probabilities below.
(а) Р(D)
(b) P(D|S)
(c) P(S©\D)
ii. Compute P(S)
iii. What is the probability that a parcel of land has a gold deposit given that no gold may be
found in its streams?
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