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siniylev [52]
3 years ago
7

Sheila either walks or cycles to school. The probability that she walks is 0.65, is she walks the probability she is late is 0.4

. If she cycles the probability that she is late is 0.1. Work out the probability that on any one day Sheila will not be late for school
Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0

Answer:

0.705

Step-by-step explanation:

From the question :

P(not being late) = p(walking and not late) + P(cycling and not late)

P(walking and not being late) = 0.65 * (1 - 0.4) = 0.65 * 0.6 = 0.39

P(cycling and not being late ) = (1 - 0.65) * (1 - 0.1) = 0.35 * 0.9 = 0.315

Hence,

P(not being late) = 0.39 + 0.315 = 0.705

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