30 September, 04:58

# A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try?A. 1/7B. 1/12C. 1/24D. 1/64About 8% of the U. S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?A. 1 in 8B. 1 in 12C. 1 in 18D. 1 in 80Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws, and must make both to win the game. What is the probability that Kay's team will win the game?A. 64%B. 80%C. 88%D. 160% (so 100%)

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1. 30 September, 06:28
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1/12 because 3*4=12 and it has 4 letters
2. 30 September, 06:45
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D. 1/64

B. 1 in 12

A. 64%

Step-by-step explanation:

Each dial has 4 letters and only one of them is correct; the probability to choose the correct one is then 1/4. Selecting a letter in each dial is independent, then the probability of guessing the right combination in one try is 1/4 * 1/4 * 1/4 = 1/64

8% means a probability of 8/100 or an odds of 8 in 100. Dividing each term by 8 we get 8/8 = 1 in 100/8 = 12.5, which can be rounded to 1 in 12

80% means a probability of 80/100 = 0.8. Given that the 2 free-throws are independent, the probability that he makes both is 0.8*0.8 = 0.64 or 64%