Question

The probability of rain today is 60 percent, and the independent probability of rain tomorrow is 75 percent. Calculate the probability that it will rain neither today nor tomorrow. (1) 10% (2) 15% (3) 45% (4) 55% (5) 65%​

Answer 1

Answer: (1)

Let us consider 100% = 1

Probability of rain today = 60% = 0.6

Probability of no rain today = 40% = 0.4

Probability of rain tomorrow = 75

Probability of no rain tomorrow = 25% = 0.25

Probability of no rain today or tomorrow = 0.4 × 0.25

Probability of no rain today or tomorrow = 0.1

Probability of no rain today or tomorrow = 10%.

Answer 2

Answer:

1) 10%

Step-by-step explanation:

Probability of rain today is 60 percent and probability of rain tomorrow is 75 percent. they are independent.(let 100 percent be 1, so we get 0.6 and 0.75 as probabilities).

Now the probability of intersection is 0.6×0.75=0.45

Probability that rain will fall today or tomorrow is 0.6+0.75−0.45=0.9

Therefore probability that that rain will neither fall today nor tomorrow is 1−0.9=0.1, which implies 10 percent.