The probability shows that the chances that he will not be delayed on his journey is 0.125 or 12.5%.
It should be noted that probability simply means the likelihood of the occurence of an event. It is simply used in order to know the likelihood that something will occur or happen.
In this case, Ben is travelling home to Brisbane on the M1 and M42 and 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.
The chances that he will not be delayed on his journey will be the probability that he won't be delayed on the first journey multiplied by that of the second journey.
This will be:
= 0.5 × (1 - 0.75)
= 0.5 × 0.25
= 12.5%
In conclusion, the probability that he will not be delayed on his journey is 12.5%.
Learn more about probability on:
brainly.com/question/24756209
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