Question

in littletown, the probability that a baseball team goes to the city playoffs is 0.20. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.10

Answer 1

Answer:

P(City Playoffs ∩ State Playoffs) = .02

Step-by-step explanation:

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The probability they go to the city playoffs is:  

0.20 (or 20%)  

Then assuming they have gone to the city playoffs, the probability they go to the state playoffs is 0.10 (or 10%)  

The probability of both events is the product:  

P(city then state) = 0.20 * 0.10 = 0.02  

Answer:  

0.02 (or 2%)

Answer 2

Answer: Option A

$P(S\ and\ C)=0.02$

Step-by-step explanation:

First we assign a name to the events:

Event C: a baseball team go to the city playoffs

Event S: a baseball team go to the state playoffs.

We know that :

$P (C) = 0.20$

We also know that the probability of S given that C occurs is:

$P(S|C) =\frac{P(E\ and\ C)}{P(C)}=0.10$

This is:

$\frac{P(S\ and\ C)}{0.20}=0.10$

Finally

$P(S\ and\ C)=0.10*0.20\\\\P(S\ and\ C)=0.02$