Question

Compound Probability: An archer has a 87% of hitting a bullseye from a distance of 100 yards and a 76% of hitting one from 150 yards. What is the probability of hitting bullseyes from 100 &150 yards in back to back attempts?

A) about 72%
B) about 66%
C) about 58%
D) about 82%

Answer 1

inal answer:

The compound probability of the archer hitting both targets is found by multiplying the individual probabilities of hitting each target, resulting in approximately 66%.

Step-by-step explanation:

The compound probability of an archer hitting bullseyes from 100 yards and 150 yards in back-to-back attempts is found by multiplying the individual probabilities for each event. The probability of hitting the bullseye from 100 yards is 87%, or 0.87 in decimal form. The probability of hitting from 150 yards is 76%, or 0.76 in decimal form. To find the compound probability, we multiply these two probabilities together:
(Probability of hitting from 100 yards) * (Probability of hitting from 150 yards) = 0.87 * 0.76 = 0.6612
The answer is approximately 66%, which correlates with option B.