Question

The weather forecast says that the probability of being cloudy tomorrow is 30% and the probability of raining is 25%. If it is cloudy, the probability of it raining is 45%. what is the probability of it being cloudy and raining.

a. 7.5%
b. 15%
c. 13.5%
d. 11.25%​

Answer 1

`\large\boxed{C).\,13.5\%}`

Explanation:

In this question, we're trying to find the probability of it being cloudy and raining.

In this case, we know that:

• Probability of it being cloudy is 30%
• Probability of it raining is 25% (this is necessarily not needed)
• If it's cloud, the probability of it raining is 45%

With the information above, we can find the probability.

We know that from a 100% scale, the chance of it being cloudy is 30%.

We know that if it's cloudy, the chances of raining is 45%

To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)

Solve:

`0.3*0.45=0.135\\\\\text{Move the decimal place two times to the right}\\\text{to turn it into a percent}\\\\\boxed{13.5\%}`

Your answer would be C). 13.5%

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!