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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%

Respuesta :

Answer: A. 3%

Step-by-step 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.

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)

                       [tex]=\frac{20}{100}\times \frac{15}{100}\\\\ = \frac{300}{10000}\\\\ = \frac{3}{100}\\\\ =\frac{3}{100}\times 100=3[/tex]%

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


                     


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