a. A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. The slots 0 and 0

Question

a. A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. The slots 0 and 00 are colored green, 18 of the others are red, and 18 are black. The dealer spins the wheel and at the same time rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced so that the ball is equally likely to land in any slot when the wheel slows. Gamblers can bet on various combinations of numbers and colors.

You decide to play roulette 240 times, each time betting the same amount on red. You will lose money if you win on fewer than 120 of the plays. What is the probability that you will lose money? (Check that the Normal approximation is permissible, and use it to find this probability. Round your answer to four decimal places.)

b. The birth control shot is one of the most effective methods of birth control available, and it works best when you get the shot regularly, every 12 weeks. Under ideal conditions, only 1% of women getting the shot become pregnant within one year. In typical use, however, 3% become pregnant. Choose at random 18 women using the shot as their method of birth control. We count the number who become pregnant in the next year.

b1.  What is the probability that at least one of the women becomes pregnant under ideal conditions? (Round your answer to four decimal places.)

b2. What is the probability that at least one of the women becomes pregnant in typical use? (Round your answer to four decimal places.)

Explanation / Answer

a)

probability of lose money is eqaul to = 120 / 240 = 0.5 = 50%

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