pls help i’ll give brainliest:( (no links)
In conditional probability, the notation P(
AB) is read:
"The probability of event A occurring given that event B has
occurred."
For example: In the following two-way table
P(Walk to school | Sophomore) = 37(2 + 25 + 3) = 0.1
Grade
Drive to school
Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P(Take the bus | Sophomore ) = [?]
Round to the nearest hundredth.

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MrRoyal MrRoyal · Answer 1 · 2022-07-29T18:48:10+02:00

The value of the probability represented by P(Take the bus | Sophomore) is 0.83

Conditional probabilities are probabilities that only occurred because an event has already occurred i.e. they are dependent on the initial event

From the table of values in the question, we have the following parameters:

The required probability represented by P(Take the bus | Sophomore ) = [?] is then calculated as:

P(Take the bus | Sophomore) = Number of students that (Take the bus and Sophomore) divided by Number of students that are (Sophomore)

Substitute the known values in the above equation

P(Take the bus | Sophomore) = 25/(2 + 25 + 3)

Evaluate the sum in the denominator

P(Take the bus | Sophomore) = 25/30

Evaluate the above quotient

P(Take the bus | Sophomore) = 0.83

Hence, the value of the probability represented by P(Take the bus | Sophomore) is 0.83