This table shows how many sophomores and juniors attended two school events. what is the probability that the student attended the volleyball game, given that the student is a sophomore
a
b
c
or d

B 0.55

Step-by-step explanation:

the student is a sophomore - so youre looking at the sophomore row, 77 sophomores total

the student attended the volleyball game - 42 sophomores attended the game

42 / 77 students total = about 0.55

Option: B is the correct answer.

              B.   0.55

Let A denote the event that the student is a sophomore.

and B denote the event that the student attend the volleyball game.

and A∩B denote the event that the student is a sophomore and attend volleyball game.

Let P denote the probability of an event.

We are asked to find the probability : P(B|A)

We know that:

Based on the table provided to us we have:

and

Hence, we have:

i.e.

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

111

step-by-step explanation: