Solving question by binomial probability. If, over a given period in Brisbane, rain falls at random on 4 days of every 10, find the probability that the first 2 days of a given week will be wet and the remainder of the week fine.

Terry Briggs 2022-09-11 Answered
Solving question by binomial probability
If, over a given period in Brisbane, rain falls at random on 4 days of every 10, find the probability that the first 2 days of a given week will be wet and the remainder of the week fine.
using the formula ( n C x ) ( p x ) ( ( p ) n x )
I put n = 10 , x = 2 , p = 0.4 , p = 0.6
and I got 0.12, but the actual answer is 0.012.
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Answers (1)

Sugainkohr
Answered 2022-09-12 Author has 13 answers
Step 1
You do not need to use the formula for the binomial distribution. Just calculate the first two days are rainy and the following 5 days are fine:
p 2 ( 1 p ) 5
Step 2
The days, which are rainy and the days which are fine, are fixed.
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