Question

Out of 15 student participating in a debate , 5 are girls. The probability that the winner is a boy is
(a) 1/2
(b) 1/3
(c) 2/3
(d) 3/5​

Answer 1

Given:

Out of 15 students participating in a debate, 5 are girls.

To Find:

The probability that the winner is a boy

Solution:

Probability is the possibility of the occurrence of an event.  

Total number of students participating in a debate = 15 (given)

Number of girls = 5 (given)

Number of boys = (15 - 5) = 10

Probability that the winner is a boy is

    = Number of boys / Total number of students

    = (10/15) = 2/3

Hence, the probability that the winner is a boy is 2/3

Answer 2

Given:  Total number of students participating in a debate = 15  

Number of girls participating in a debate = 5  

To find: The probability that the winner is a boy.

Solution :  

Total number of students participating in a debate is 15, therefore total number of trials = 15

Number of boys participating in a debate = 15 - 5 = 10  

A number of events of boys participating in a debate = 10

Required probability = Number of trials in which the event E has happened / Total number of trials

The probability that the winner is a boy, P(boy) = 10/15 = ⅔

Hence, the probability that the winner is a boy is ⅔.

Therefore Option (c) 2/3 is correct.

 

Extra information :  

• Probability is the study of the chances of events happening.
• Event:  A Possible outcome or combination of outcomes is called an event.
• The probability of happening of an event always lies from 0 to 1.
• The sum of all the probabilities of all possible outcomes of an experiment is 1.
• Required probability = Number of trials in which the event E has happened / Total number of trials

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