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.