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?

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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?
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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