Question

There is a 15% chance it will rain on Saturday and a 20% chance it will rain on Sunday. What is the percent chance that it will rain on both Saturday and Sunday?

A 3%
B 17.5%
C 20%
D 35%

Answer 1

Let P(A) denotes the Probability that it will Rain on Saturday= 15 %

And , P(B) denotes the Probability that it will Rain on Saturday= 20 %

As, we have to find P (A ∩ B).

P(A) and P(B) are Independent events.

So, →→P(A∩B)= P (A) × P (B)

`=(20)/(100)* (15)/(100)\\\\ = (300)/(10000)\\\\ = (3)/(100)\\\\ =(3)/(100)* 100=3`%

Option (A) 3 % is the chance that it will rain on both Saturday and Sunday.

Answer 2

Answer: A. 3%

Explanation:

Let S be the event of raining in Sunday and S' be the event of raining on Saturday,

Here, P(S) = 15% = 0.15,

P(S') = 20 % = 0.20

Therefore, the probability that it will rain on both Saturday and Sunday

= P(S) × P(S')

= 0.15 × 0.20

= 0.03 = 3 %

Thus, there is 3% chance that it will rain on both Saturday and Sunday.

⇒ Option A is correct.