According to the Chronicles of Contrived Statistics (March, 2016), the

TokNeekCepTdh

TokNeekCepTdh

Answered question

2021-11-21

According to the Chronicles of Contrived Statistics (March, 2016), the probability that Elon Musk will offer you a free trip into space in the next month is 49%. The probability that scientists from Area 51 will start selling pet aliens next month is 46%. Finally, the probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 31%. What is the probability that both Elon Musk will offer you a free trip into space and scientists from Area 51 will start selling pet aliens in the next month?

Answer & Explanation

oces3y

oces3y

Beginner2021-11-22Added 21 answers

Step 1 
In the upcoming month, there is a 49% chance that EM will provide you with a free trip into space. Let P(A), where A is the event, be this.
There is a 46% chance that Area 51 researchers will start selling pet aliens in the coming month. Let P(B), where B is the event, be this.
The probability that either EM will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 31%. This is equal to the probability P(AB) 
The probability that both EM will offer you a free trip into space and scientists from Area 51 will start selling pet aliens in the next month=? This is equivalent to P(AB) 
Step 2 
Now, by the formula, 
P(AB)=P(A)+P(B)P(AB) 
=0.49+0.460.31 
=0.64 
The answer is 64%.

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