question archive Ben is travelling home to Birmingham on the M1 and M42
Ben is travelling home to Birmingham on the M1 and M42
Subject:MathPrice:2.87 Bought7
Ben is travelling home to Birmingham on the M1 and M42. Both motorways have road works.He has a fifty-fifty chance of getting delayed on the M42 and a 75% chance of being delayed on the M1.
What are the chances that he will not be delayed on his journey?
1 in 4
3 in 8
1 in 8
1 in 2
What are the chances that he will not be delayed on his journey?
1 in 4
3 in 8
1 in 8
1 in 2
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Answer:
In the question "Ben is travelling home to Birmingham on the M1 and M42. Both motorways have road works. He has a fifty-fifty chance of getting delayed on the M42 and a 75% chance of being delayed on the M1. What are the chances that he will not be delayed on his journey?"
The chance that he will not be delayed in his journey is the chance that he will not be delayed on the M1 and he will not be delayed on the M42.
Probability of getting delayed on the M1 = 75% = 0.75
Probability of not being delayed on the M1 = 1 - 0.75 = 0.25
Probability of getting delayed on the M42 = 50% = 0.5
Probability of not being delayed on the M42 = 1 - 0.5 = 0.5
Probability of not being delayed on the M1 and not being delayed on the M42
= 0.25 x 0.5 = 0.125 = 1 in 8
