Question

Suppose that you ask three friends to go to the mall. each one has a 0.70 chance of saying yes. What is the probability that all three friends will say they can go to the mall with you? a. 0.027 c. 0.343 b. 0.21 d. 0.657 please select the best answer from the choices provided

Answer 1

To find the probability that all three friends will say they can go to the mall, you multiply the individual probabilities of 0.70 together (0.70 x 0.70 x 0.70), resulting in a probability of 0.343.

Step-by-step explanation:

The probability that all three friends will say they can go to the mall when each has a 0.70 chance of saying yes can be found by multiplying the individual probabilities together, since they are independent events. The calculation is as follows:

Probability all three say yes = Probability friend 1 says yes × Probability friend 2 says yes × Probability friend 3 says yes

Probability all three say yes = 0.70 × 0.70 × 0.70

Probability all three say yes = 0.343

Therefore, the correct answer is c. 0.343.