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At a carnival game, a winning player spins a wheel
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26 May 2024, 04:55
26 May 2024, 04:55
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Difficulty:
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Question Stats:
63% (02:48) correct
37%
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wrong
based on 57
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At a carnival game, a winning player spins a wheel that always lands on either Prize 1 or Prize 2 to determine which of the two prizes he or she wins. The probability that the prize wheel indicates Prize 2 is double the probability that it indicates Prize 1. If a player does not want the prize that the prize wheel first indicates, then he or she may spin the wheel again. In such cases, the player must accept whichever prize the prize wheel indicates on the second spin.
Select for Prize 1 the number nearest to the probability that a winning player who wants Prize 1 will receive Prize 1 after one or two spins of the prize wheel, and select for Prize 2 the number nearest to the probability that a winning player who wants Prize 2 will receive Prize 2 after one or two spins of the prize wheel. Make only two selections, one in each column.
Select for Prize 1 the number nearest to the probability that a winning player who wants Prize 1 will receive Prize 1 after one or two spins of the prize wheel, and select for Prize 2 the number nearest to the probability that a winning player who wants Prize 2 will receive Prize 2 after one or two spins of the prize wheel. Make only two selections, one in each column.
| Prize 1 | Prize 2 | |
| 0.1 | ||
| 0.3 | ||
| 0.5 | ||
| 0.7 | ||
| 0.9 |
ShowHide Answer
Official Answer
Prize 1: 0.5
Prize 2: 0.9
Re: At a carnival game, a winning player spins a wheel
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26 May 2024, 11:03
26 May 2024, 11:03
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Expert Reply
sreehere wrote:
At a carnival game, a winning player spins a wheel that always lands on either Prize 1 or Prize 2 to determine which of the two prizes he or she wins. The probability that the prize wheel indicates Prize 2 is double the probability that it indicates Prize 1. If a player does not want the prize that the prize wheel first indicates, then he or she may spin the wheel again. In such cases, the player must accept whichever prize the prize wheel indicates on the second spin.
Select for Prize 1 the number nearest to the probability that a winning player who wants Prize 1 will receive Prize 1 after one or two spins of the prize wheel, and select for Prize 2 the number nearest to the probability that a winning player who wants Prize 2 will receive Prize 2 after one or two spins of the prize wheel. Make only two selections, one in each column.
Posted from my mobile device
Select for Prize 1 the number nearest to the probability that a winning player who wants Prize 1 will receive Prize 1 after one or two spins of the prize wheel, and select for Prize 2 the number nearest to the probability that a winning player who wants Prize 2 will receive Prize 2 after one or two spins of the prize wheel. Make only two selections, one in each column.
Posted from my mobile device
As the Source and OA are correct now, the solution would be
The prize wheel can be taken to be consisting of three parts, out of which prize 1 one occupies one part and prize 2 occupies the remaining two parts.
(1) Prize 1 after one or two spins-
First way: Total P - no prize 1 after two spins =\( 1 - (1-\frac{1}{3})(1-\frac{1}{3})=1-\frac{4}{9}=\frac{5}{9} \)or 55.55% closest to 0.5 in options.
Second way: P in first spin + P in second spin =\(\frac{ 1}{3} + (\frac{2}{3}*\frac{1}{3}) = \frac{5}{9}\)
(2) Prize 2 after one or two spins-
First way: Total P - no prize 2 after two spins =\( 1 - (1-\frac{2}{3})(1-\frac{2}{3})=1-\frac{1}{9}=\frac{8}{9} \) or 88.88% closest to 0.9 in options.
Second way: P in first spin + P in second spin = \(\frac{2}{3 }+ (\frac{1}{3}*\frac{2}{3}) = \frac{8}{9}\)
bhattarbharat
Re: At a carnival game, a winning player spins a wheel
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27 May 2024, 02:18
27 May 2024, 02:18
chetan2u wrote:
sreehere wrote:
At a carnival game, a winning player spins a wheel that always lands on either Prize 1 or Prize 2 to determine which of the two prizes he or she wins. The probability that the prize wheel indicates Prize 2 is double the probability that it indicates Prize 1. If a player does not want the prize that the prize wheel first indicates, then he or she may spin the wheel again. In such cases, the player must accept whichever prize the prize wheel indicates on the second spin.
Select for Prize 1 the number nearest to the probability that a winning player who wants Prize 1 will receive Prize 1 after one or two spins of the prize wheel, and select for Prize 2 the number nearest to the probability that a winning player who wants Prize 2 will receive Prize 2 after one or two spins of the prize wheel. Make only two selections, one in each column.
Posted from my mobile device
Select for Prize 1 the number nearest to the probability that a winning player who wants Prize 1 will receive Prize 1 after one or two spins of the prize wheel, and select for Prize 2 the number nearest to the probability that a winning player who wants Prize 2 will receive Prize 2 after one or two spins of the prize wheel. Make only two selections, one in each column.
Posted from my mobile device
Source please
Source: GMAT Focus Official Mock - 4
