The given two-way table shows the number of passengers, by type, on the Ferris wheel at an amusement part for its first two runs

Question

2 years ago

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The given two-way table shows the number of passengers, by type, on the Ferris wheel at an amusement part for its first two runs

on a Sunday morning.
First Run
Second Run Total
Children 122 146 268
Adults 183 219 402
Total 305 365 670

Based on the data in the table, what is the value of P(Adult|Second run) rounded to the nearest thousandth?

Mathematics

1 answer:

zzz [600] · Answer 1 · 2023-07-09T17:13:18+03:00

The two-way table is an illustration of probability, and the value of P(Adult|Second run) is 0.600

<h3>How to determine the probability?</h3>

The probability to calculate is given as: P(Adult|Second run)

This means:

The probability that an Adult is selected given that the adult runs the second run

The formula to solve this is:

P(Adult|Second run) = n(Adult and Second run)/n(Second run)

From the table, we have:

n(Adult and Second run) = 219

n(Second run) = 365

So, we have:

P(Adult|Second run) = 219/365

Evaluate

P(Adult|Second run) = 0.600

Hence, the value of P(Adult|Second run) is 0.600