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Calculate the probability P(E).
The Heavy Weather Service predicts that for tomorrow there is a 50% chance of tornadoes, a 25% chance of a monsoon, and a 15% chance of both. What is the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon?


Sagot :

The probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total putcome

If there is a 15% chance that tornadoes and monsoon will occur, hence the

the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon will be expressed as:

Pr(neither tornadoes nor a monsoon) = 1 - Pr(both will occur)

Pr(neither tornadoes nor a monsoon) = 1 - 0.15

Pr(neither tornadoes nor a monsoon) = 0.85 =  85%

Hence the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85

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