83.0k views
3 votes
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%

User Metamatt
by
7.8k points

2 Answers

7 votes

Solution:

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.



User Sojung
by
8.4k points
6 votes

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.

User Onnonymous
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories