The medal distribution from the 2008 summer Olympic game for the top below two o

Question

The medal distribution from the 2008 summer Olympic game for the top below two o Country Types of modal Total 110 Silver 38 21 59 Gold United States 36 Britain Total 23 59 36 28 64 182 IF one medal winner at random find the following probabilities The probability that the winner won the gold medal The probability that the winner won the silver medal and he was from Britain The probability that the winner won the gold medal or he was from United State The probability that the winner won the gold medal or the bronze medal The probability that the winner won the gold medal given that he was from Britain

Explanation / Answer

1) P( winner won gold medal ) = 59/182

2) P(Silver medal and from Britain) = 21/182

3) P(Gold medal or from United states) = P(Gold) +P(US) - P(Gold and US) = (59/182)+(110/182)-(36/182) = 133/182

4) P(Gold or Bronze ) = 0

5) P( Gold| from Britain) = P(Gold and from Britain)/ P(from Britain) = 23/72

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