The Seniors at three high schools were surveyed about their plans after graduation. The following table shows the responses, classified by high school.
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The probability that the chosen student will not be from high school B and has answered with a choice other than college is 0.414 or 41.4%.

Given information:

The Seniors at three high schools were surveyed about their plans after graduation.

One student is chosen at random.

It is required to find the probability that the chosen student will not be from high school B and has answered with a choice other than college.

Now, the total number of students is 956.

The preferred students based on the given condition will be,

So, the value of the required probability will be,

Therefore, the probability that the chosen student will not be from high school B and has answered with a choice other than college is 0.414 or 41.4%.

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E. 396/538

Step-by-step explanation:

The probability that the senior selected will not be from High School B given that the senior did not answer colege:

First, what's the probability of not having answered college? This will be out denominator.

P(not choosing college) = 244 + 106 + 188 = 538

Next, what's the probability that a senior in that category is not from HS B? Well, add the probabilities that the senior is in HS A or C:

P(senior is in HS A or C and answered not college) =  49 + 99 + 63 + 83 + 31 + 71 = 396

Our answer is E. 396/538.