Question

Use the table to answer the question.

Arrival Time by Transport Type
Arrival Time
Transport Type On Time Late TOTAL
Car 230 20 250
Bicycle 70 130 200
TOTAL 300 150 450
Let event A
represent a late arrival and event B
represent transportation by car. Which of the following shows the correct calculation of P(A)⋅P(B)
?

(1 point)
Responses

150450+250450
Start Fraction 150 over 450 End Fraction plus Start Fraction 250 over 450 End Fraction

150250+20250
Start Fraction 150 over 250 End Fraction plus Start Fraction 20 over 250 End Fraction

150250⋅20250
Start Fraction 150 over 250 End Fraction times Start Fraction 20 over 250 End Fraction

150450⋅250450

Answer 1

P(A) = 150/450, P(B) = 250/450, so P(A)⋅P(B) = (150/450)⋅(250/450).

That corresponds to the last choice (150/450 ⋅ 250/450). The product simplifies to 5/27 (≈ 0.1852).