Question

Passengers traveling by airplane have two options for their bags: carry-on (for smaller bags) or check (for large bags). An airline examines the baggage choices of its customers on a selection of short flights (less than 500 miles) and long flights (more than 500 miles)

Length of Flight
Short Long Total
Baggage
Options Carry-on 342 259 601
Check 178 311 489
Neither 53 32 85
Total 573 602 1175
What is the probability that a customer is on a short flight, given that the customer has a carry-on bag?

StartFraction 342 Over 1,175 EndFraction
StartFraction 601 Over 1,175 EndFraction

Answer 1

Answer:  342/601

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Explanation:

We're told that "given the customer has a carry-on bag". This means we know 100% that the customer has a carry-on bag and we don't need to worry about the other rows. We'll only focus on row 1.

Of the 601 people who had a carry-on, there are 342 people who had a short flight.

This leads to the fraction 342/601

It cannot be reduced because 342 and 601 don't have any factors in common (other than 1).