Question

The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 2/3. What is the probability that it will rain on exactly four of the four days they are there? Round your answer to the nearest thousandth.

Answer 1

Answer:

19.75%

Step-by-step explanation:

Since we are trying to find the probability for a sequence of events then we need to multiply the probability of each event happening separately from each other. Since the probability of it raining on a single day is 2/3 we need to multiply this value with itself 4 times (one for each day).

2/3 * 2/3 * 2/3 * 2/3 = 16/81 or 0.1975 or 19.75%

Therefore the probability would be 16/81 or 0.1975 or 19.75%