The blood groups of 30 students in the class $I X$ are recorded as follows $A, B, O, O, A B, O, A, O, B, A, O, B, A, O, O, A, A B, O, A, A, O, O, A B, B, A, O, B, A, B, O$

A kid from the class is chosen at random to donate blood.

What is the probability that the blood group of the student chosen is $A B ?$

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210

310

410

110

answer is D.

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Detailed Solution

Given a data about the blood group of 30 students.

{A, B, O, O, A B, O, A, O, B, A, O, B, A, O, O, A, A B, O, A, A, O, O, A B, B, A, O, B, A, B, O}

We have to find the probability that the blood group of the chosen kid is AB.
The probability of an event A is given by,

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

The sample space has a number of events that is,

n (S) = 30

.
Let Z be the event of choosing the student with AB blood group, then, n(Z) = 3.
The probability of the event

Z

is,

P (Z) = n (Z) n (S) ⇒ P (Z) = 330 ⇒ P (Z) = 110

Hence, the probability that the blood group of the chosen kid is AB is

110

.
Therefore, option 4 is the correct option.

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