This table shows how many sophomores and juniors attended two school events. A student is selected randomly from this group. Jazz band concert Volleyball game TotalSophomore 35 42 77Junior 36 24 60Total 71 66 137What is the probability that the student attended the volleyball game, given that the student is a sophomore?Round your answer to two decimal places.A.0.18B.0.55C.0.36D.0.45
Question
This table shows how many sophomores and juniors attended two school events. A student is selected randomly from this group. Jazz band concert Volleyball game TotalSophomore 35 42 77Junior 36 24 60Total 71 66 137What is the probability that the student attended the volleyball game, given that the student is a sophomore?Round your answer to two decimal places.A.0.18B.0.55C.0.36D.0.45
Solution
To solve this problem, we need to find the probability that a randomly selected student attended the volleyball game given that the student is a sophomore.
Step 1: Identify the total number of sophomores. From the table, we can see that there are 77 sophomores.
Step 2: Identify the number of sophomores who attended the volleyball game. From the table, we can see that 42 sophomores attended the volleyball game.
Step 3: Calculate the probability. The probability is the number of sophomores who attended the volleyball game divided by the total number of sophomores.
So, the probability = 42/77 = 0.545 or 54.5%
Rounded to two decimal places, the probability is 0.55.
So, the answer is B. 0.55.
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