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4 November, 15:53

En 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

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  1. 4 November, 16:16
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    P (delay on M₁) = 0.75.

    P (NOT delayed on M₁) = 1 - 0.75 = 0.25

    P (delay on M₄₂) = 0.5

    P (NOT delayed on M₄₂) = 1 - 0.5 = 0.5

    P (NOT delayed on M₁ AND Not delayed on M₄₂) = (0.25). (0.5) = (1/4). (1/2)

    P (NOT delayed on M₁ AND Not delayed on M₄₂) = 1/8 (one in 8)
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