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Answer:
0.1333 = 13.33% probability that bridge B was used.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Arrives home by 6 pm
Event B: Bridge B used.
Probability of arriving home by 6 pm:
75% of 1/3(Bridge A)
60% of 1/6(Bridge B)
80% of 1/2(Bridge C)
So
Probability of arriving home by 6 pm using Bridge B:
60% of 1/6. So
Find the probability that bridge B was used.
0.1333 = 13.33% probability that bridge B was used.
Answer:
The answer is B. He spent 3 minutes eating lunch for every 10 minutes.
Step-by-step explanation:
He spent stuck inside during the brainstorm for:
20+18+12+10= 60 minutes in total.
And now we want to know what he did for every 10 minutes he spent in the rainstorm. To do that we need to divide what he did for every 10 minutes by the total of minutes that he was stuck:
And now we can multiply the time of the activities by 1/6 to get the time he did each activity every 10 minutes.
Reading:
minutes reading for every 10 minutes.
Eating:
minutes eating for every 10 minutes.
Watching TV:
minutes watching TV for every 10 minutes.
Drawing:
minutes drawing for every 10 minutes.
Therefore he spent 3 minutes eating lunch for every 10 minutes.