Question

Use the table to answer the question.

Train Arrivals Categorized by Path and Time
Train Arrival
Train Path On Time Arrival Late Arrival Total
In the city 54 6 60
City to city 27 3 30
Totalh 81 9 90
Which fraction represents P(A and B)
from the table if P(A)=990
and P(B)=3090
?

(1 point)
Responses

5490

Start Fraction 54 over 90 End Fraction

990

Start Fraction 9 over 90 End Fraction

8190

Start Fraction 81 over 90 End Fraction

3/90

Answer 1

P(A)=9/90 (late arrivals) and P(B)=30/90 (city-to-city). Their intersection is late AND city-to-city = 3 out of 90, so P(A and B) = 3/90 (which simplifies to 1/30).