three friends play a game of chance to determine who buyscoffee. each tosses a p

Question

three friends play a game of chance to determine who buyscoffee. each tosses a penny. if one person has an outcome (heads or tails) different fromthe other two, that person has to buy. If all the pennies match, the game is repeated. what isthe probability that the game ends on the first round? three friends play a game of chance to determine who buyscoffee. each tosses a penny. if one person has an outcome (heads or tails) different fromthe other two, that person has to buy. If all the pennies match, the game is repeated. what isthe probability that the game ends on the first round?

Explanation / Answer

The total number of outcomes are 23 is 8. A penny will match if the pennies show H,H,H and T,T,T. So, weneed to repeat the game at this situation. Now, the remaining will be the favorable cases, so therequired probability be P(A)= 6/8         = 0.75.

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