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28 Jan 2021, 04:09
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64% (01:52) correct
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The oasis output of Abu Ilan in the heart of the Negev desert, has a population of 20 Bedouin tribesmen and 20 Farma tribesmen. El Kamin, a nearby oasis, has a population of 32 Bedouin tribesmen and 8 Farima tribesmen. A lost soldier (from another country), accidentally seperated from his army unit, is wandering through the desert and arrives at the edge of one of the oases. The soldier has no idea which oasis he has found, but the first person he spots from a distance is a Bedouin. What is the probability that he wandered into Abu Illan?
A. 7/20
B. 5/13
C. 1/2
D. 8/13
E. 13/20
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
A. 7/20
B. 5/13
C. 1/2
D. 8/13
E. 13/20
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
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28 Jan 2021, 07:45
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Probability of finding Bedouin in Abu Ilan = 20/40 = 1/2
Probability of finding Bedouin in El Kamin = 32/40 = 4/5
Given Bedouin, probability of Abu Ilan = 1/2/(1/2+4/5) = 5/13
Option B
Posted from my mobile device
Probability of finding Bedouin in El Kamin = 32/40 = 4/5
Given Bedouin, probability of Abu Ilan = 1/2/(1/2+4/5) = 5/13
Option B
Posted from my mobile device
08 Feb 2021, 12:15
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Bunuel
The oasis output of Abu Ilan in the heart of the Negev desert, has a population of 20 Bedouin tribesmen and 20 Farma tribesmen. El Kamin, a nearby oasis, has a population of 32 Bedouin tribesmen and 8 Farima tribesmen. A lost soldier (from another country), accidentally seperated from his army unit, is wandering through the desert and arrives at the edge of one of the oases. The soldier has no idea which oasis he has found, but the first person he spots from a distance is a Bedouin. What is the probability that he wandered into Abu Illan?
A. 7/20
B. 5/13
C. 1/2
D. 8/13
E. 13/20
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
A. 7/20
B. 5/13
C. 1/2
D. 8/13
E. 13/20
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
Solution:
P(Bedouin) = P(Bedouin from Abu Ilan) * P(Abu Ilan) + P(Bedouin from El Kamin) * P(El Kamin)
= 20/40 * 1/2 + 32/40 * 1/2
= 10/40 + 16/40 = 26/40 = 13/20
P(Abu Ilan given Bedouin) = P(Bedouin from Abu Ilan) * P(Abu Ilan) / P(Bedouin)
= (10/40) / (13/20) = 1/4 x 20/13 = 5/13
Answer: B
