On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any ot

Question

vivado [14]

3 years ago

11

On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any ot

her day. Calculate the probability that, starting with tomorrow, the second day ofrain will occur within 5 days

Mathematics

1 answer:

Sunny_sXe [5.5K] · Answer 1 · 2022-08-20T19:45:48+03:00

Answer:

0.47178 = 47.178%

Step-by-step explanation:

Put simply, this question is asking the probability of having rain atleast twice in the next 5 days. The easiest way that comes to mind is reverse count - find the probability of it not happening. There are two cases for this:

Raining only once:

This has a .7^4 * 0.3 * 5 chance

Raining no times:

This has a .7^5 chance

Adding these together you get 0.52822

This is the inverse probability, so to find the actual probability, subtract it from 1.

P = 0.47178