Question

At her soccer tryouts, Jenny has an 80% chance of scoring a goal on her penalty kick. Unfortunately, there is only a 10% chance that the coach will be watching her when she shoots. What is the theoretical probability that Jenny will score a goal and the coach will be watching?

A. 8%
B. 10%
C. 18%
D. 2%

Answer 1

To find the probability of both events happening (scoring and being watched), multiply the individual probabilities: 0.80 * 0.10 = 0.08, which is 8%.

Step-by-step explanation:

The theoretical probability that Jenny will score a goal and the coach will be watching is found by multiplying the probability of Jenny scoring a goal, which is 80% or 0.80, by the probability that the coach will be watching, which is 10% or 0.10. To calculate this, you multiply the individual probabilities together since these are independent events:

P(Jenny scores and coach watches) = P(Jenny scores) × P(coach watches) = 0.80 × 0.10 = 0.08 or 8%.

The correct answer is A. 8%.