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  • The probability that it will rain today is 0.5 . The probability that it will rain tomorrow is 0.6 . The probability that it will rain either today or tomorrow is 0.7 . What is the probability that

The probability that it will rain today is 0.5 . The probability that it will rain tomorrow is 0.6 . The probability that it will rain either today or tomorrow is 0.7 . What is the probability that it will rain today and tommorrow?

Option: 1

0.3


Option: 2

0.25


Option: 3

0.35


Option: 4

0.4


Answers (1)

best_answer

\text { Given } \\

\begin{aligned} P\left(E_1\right) & =0.5, P\left(E_2\right)=0.6 \\ P\left(E_1 \cup E_2\right) & =0.7 \end{aligned}

Where E_1 (Rain today)

E_2 = Rain Tomorrow

Required Peobability

\begin{aligned} & =P\left(E_1 \cap E_2\right) \\ & =P\left(E_1\right)+P\left(E_2\right)-P\left(E_1 \cup E_2\right) \end{aligned}

(Sign addition theorem)

\begin{aligned} & =0.65+0.6-0.7 \\ & =0.4 \end{aligned}

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avinash.dongre

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