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Q.

In a class of 40 students, there are 16 girls and 24 boys. Out of these, ten are 'A' students. If a student is chosen at random, what is the probability of choosing a boy?

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a

7 12   

b

3 5  

c

3 4  

d

2 9  

answer is A.

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Detailed Solution

Given that in a class of 40 students, there are 16 girls and 24 boys and out of these, ten are 'A' students.
We need to find the probability that if a student is chosen at random, it is a boy.
Probability of an event E is defined as:
P(E)=Number of favorable outcomesTotal number of possible outcomes
There are 40 students in the class.
Therefore, the total number of possible outcomes is 40.
There are 24 boys, therefore the number of favorable outcomes is 24.
Let E   be the event that a boy is selected from a class of 40 students.
Now, the probability of selecting a boy is,
P E = 24 40 ⇒P(E)= 3 5  
The probability of selecting a boy is 3 5  .
Therefore, option 1 is correct.
 
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