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Q.

Following are the attendance rates for various classes during the course of a school year:

What is the probability that more than 75% of the class will be present?

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a

16

b

13

c

56

d

12

answer is D.

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Detailed Solution

Given a table of attendance rates of various classes.
Question Image

Question Image

We have to find the probability that more than 75% of the class will be present.
The probability of an event A is given by,

P (A) = Number of favourable outcomes T o t a l number of outcomes

From the table, the total number of classes is given by,
n(S) = 6
Let A be the event of the class with more than 75% attendance.
The classes with attendance of more than 75% = {VI, VII, VIII}.
Thus, n(A) = 3.
The probability that more than 75% of the class will be present is given by,

P (A) = n (A) n (S) ⇒ P (A) = 36 ⇒ P (A) = 12

Thus, the probability that the class attendance is more than 75% is

12

.
Hence, option 4 is the correct option.

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