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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find P(C|Y) from the information in the table. To the nearest tenth, P(C|Y) = .
X | Y | Z | Total | |
---|---|---|---|---|
A | 32 | 10 | 28 | 70 |
B | 6 | 5 | 25 | 36 |
C | 18 | 15 | 7 | 40 |
Total | 56 | 30 | 60 | 146 |
Solution:
Given,
P(C|Y) = ?
Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome.
Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.
P(C|Y) reads the probability of event C happening given event Y is happening.
This is a conditional probability and the formula is given as
P(C|Y) = P(C ∩ Y)/ P(Y)
From the table,
P(C ∩ Y) = 15/146
P(Y) = 30/146
P(C|Y) = P(C ∩ Y)/ P(Y)
P(C|Y) = 15/146 / 30/146
P(C|Y) = 15/30
P(C|Y) = 0.5
Therefore, P(C|Y) = 0.5
Find P(C|Y) from the information in the table. To the nearest tenth, P(C|Y) = .
Summary:
P(C|Y) from the information in the table is 0.5
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