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29 May, 21:00

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. 1/7

B. 1/12

C. 1/24

D. 1/64

About 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 8

B. 1 in 12

C. 1 in 18

D. 1 in 80

Kay 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%)

+1
Answers (2)
  1. 29 May, 21:21
    0
    1/12 because 3*4=12 and it has 4 letters
  2. 30 May, 00:20
    0
    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%
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Home » Mathematics » 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. 1/7 B. 1/12 C. 1/24 D. 1/64 About 8% of the U. S. population catches the flu each season.
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