6. Solve the following. (a) An experiment consists of tossing a fair coin and rolling two...

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6. Solve the following. (a) An experiment consists of tossing a fair coin and rolling two balanced die. Find the probability that a head is be obtained on the coin and the same number is obtained on both dice. (b) A customer arrives at a checkout counter at a random moment during a given 30-minute period. Find the probability that the arrival time occurs during the last 5 minutes of the period. 6. Solve the following. (a) An experiment consists of tossing a fair coin and rolling two balanced die. Find the probability that a head is be obtained on the coin and the same number is obtained on both dice. (b) A customer arrives at a checkout counter at a random moment during a given 30-minute period. Find the probability that the arrival time occurs during the last 5 minutes of the period.