Tree Diagrams - 6 P Take a Test cynthia Davis Google Chrome https:// 110724450&c

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Tree Diagrams - 6

P Take a Test cynthia Davis Google Chrome https:// 110724450&centerwin; yes Cynthia Davis 12/8/15 11:22 AM Quiz: 6.5 (quiz) Tree Diagrams Overview 1 2 3 4 5 6 9 10 This Question: 1 pt This Test: 10 pts 0 of 10 Three ordinary quarters and a fake quarter with two heads are placed in a hat. One quarter is selected at random and tossed twice. If the outcome is HH," what is the probability that the fake quarter was selected? Pr fake HH) Type an integer or a simplified fraction.) Vi Vi Ordinary Fake Enter your answer in the answer box. Previous Question Next Question I Submit Quiz

Explanation / Answer

The probability of getting heads on a real coin for 1 toss is 1/2

The probability of getting heads on a real coin for 2 times toss = 1/2*1/2 = 1/4 chances = 25% chance

The probability of getting heads on Fake coin is 1 since it has both Heads.

The probability of it being a fake coin is 1-1/4 = 3/4 = 75% = ans

Explanation:
Take it the other way round = the chance of it being a True coin is 2/3 (since the same coin) since there are only 3 coins and 1 is fake

The probability of true coin (in 2 rounds) is 1/4.
There wont be an impact in probabilty if only true coins are there - so 1/4 in this case would be final probability for heads

Since we have fake coin - where chances are 100% - the probability of getting getting fake coin selected when both the times are heads is 1- 1/4 = 75%

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