A) Since each throw is independent, the probability that three darts fired in succession will all hit Bullseye is the product of the individual probabilities. Therefore, the probability is 0.65 * 0.65 * 0.65 = 0.274625.
B) The probability that none will hit is the complement of the probability that at least one will hit. Therefore, the probability is 1 - P(at least one will hit).
C) To find the probability that at least one will hit, we can use the complement rule again. The probability that at least one will hit is equal to 1 - P(none will hit). Since there are three darts fired, the probability that none will hit is (1-0.65)^3 = 0.0359375. Therefore, the probability that at least one will hit is 1 - 0.0359375 = 0.9640625.
D) The probability that two will hit is the probability that the first dart hits Bullseye (0.65) multiplied by the probability that the second dart hits Bullseye (0.65) multiplied by the probability that the third dart does not hit Bullseye (1 - 0.65). Therefore, the probability is 0.65 * 0.65 * (1 - 0.65) = 0.225125.
When Ayla improves her game of darts the chances that a she hits a bullseye is 0.65. Assume that each throw is independent.
A) what are the chances that three darts fired in succession will all hit Bullseye.
B) what is the probability that none will hit
C) what is the probability that at least one will hit?
D) what is the probability that two will hit
1 answer
1 answer