Probability independent

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Question 1

The probability that it will rain in Qumar on any given day is 0.71, while the probability that it will rain in Timbucktoo on any given day is 0.53. Assume that these two events are independent. Give all answers correct to two decimal places.

a)

What is the probabilty that both of these events occur?

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b)

What is the probabilty that neither of these events occur?

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c)

What is the probabilty that at least one of these two events will occur?

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d)

What is the probabilty that only one of the two events occur?

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Advice

(a) P(it will rain in Qumar on any given day)xP(it will rain in Timbucktoo on any given day)=0.71x0.53=0.3763

Next round to 2 decimal places to get 0.38

(b) P(not - it will rain in Qumar on any given day)xP(not - it will rain in Timbucktoo on any given day) $=(1-\var{x})\times (1-\var{y})=\var{a2}$

Next round to 2 decimal places to get 0.14

(d) ( (1-0.71)x 0.53)+( (1-0.53)x 0.71)=0.4874

Next round to 2 decimal places to get 0.49

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Numbas has failed

Probability independent

a)

b)

c)

d)

Advice