Question

The probabilities by subject of on-time assignment submission and on-time arrival to class are given in the table. What is the chance that the subject is physics if an assignment is submitted on time? 

Subject:   On-time Assignment:     On-time Arrival to Class:
PHYSICS                  89.7%                                     82.3%
MATH                        88.2%                                     88.7%
CHEMISTRY             89.4%                                     83.1%
BIOLOGY                  90.1%                                     82.4%
TOTAL                       88.5%                                     84.7%

A.)82.3%
B.)88.5%
C.)89.7%
D.)insufficient data

Answer 1

Look in the "on time" column (first column) and the "physics" row (row 1)

The value 89.7% is in this row and column intersection

Therefore, the probability of getting a physics assignment on time is 89.7%, so the answer is choice C.

Answer 2

The chance that the subject is physics if an assignment is submitted on time is 89.7%.

Given

The probabilities by the subject of on-time assignment submission and on-time arrival to class are given in the table.

Subject:   On-time Assignment:     On-time Arrival to Class:

PHYSICS                  89.7%                                     82.3%

MATH                        88.2%                                     88.7%

CHEMISTRY             89.4%                                     83.1%

BIOLOGY                  90.1%                                     82.4%

TOTAL                       88.5%                                     84.7%

What is probability?

The quality or state of being probable; the extent to which something is likely to happen or be the case:

• The chance that the subject is physics if an assignment is submitted on time is 89.7%.

• The chance that the subject is math if an assignment is submitted on time is 88.2%.

• The chance that the subject is chemistry if an assignment is submitted on time is 89.4%.

• The chance that the subject is biology if an assignment is submitted on time is 90.1%.

Hence, the chance that the subject is physics if an assignment is submitted on time is 89.7%.

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