Question

The probability that Stu buys a sandwich is 0.5.

The probability that Stu gets the bus is 0.7.
Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?

Answer 1

Answer: 0.35

Explanation:

First there is a 50% chance, or a 0.5 chance that Stu gets a sandwich. Then, ignoring the other .5, there is a .7 chance that he makes the bus. Thus, 1/2 of .7 is 0.35.

Hope it helps <3

Answer 2

probability that Stu buys a sandwich and gets the bus = 0.35

Explanation:

Probability of success of two independent events is the product of the respective probabilities, i.e. the multiplication rule.

P(Sandwich) = P(S) = 0.5

P(Bus) = P(B) = 0.7

Assuming the events are independent,

probability that Stu buys a sandwich and gets the bus

= P(SB) = P(S)*P(B) = 0.5*0.7 = 0.35