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There are 100 students in a college class of which 36 are boys studying statistics and 13 girls not studying statistics. If there are 55 girls in all, then the probability that a boy picked up at random is not studying statistics, is
  • a)
    3/5 
  • b)
    2/5 
  • c)
    1/5
  • d)
    4/5 
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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Problem:
There are 100 students in a college class, of which 36 are boys studying statistics and 13 girls not studying statistics. If there are 55 girls in total, then the probability that a randomly picked boy is not studying statistics is:

a) 3/5
b) 2/5
c) 1/5
d) 4/5
e) None of these

Solution:
To solve this problem, we need to find the probability of selecting a boy who is not studying statistics. Let's break down the given information and approach the problem step by step.

Step 1: Identify the Given Information
- Total number of students in the class: 100
- Number of boys studying statistics: 36
- Number of girls not studying statistics: 13
- Total number of girls: 55

Step 2: Calculate the Number of Boys not Studying Statistics
Since the number of boys studying statistics is given as 36, we can calculate the number of boys not studying statistics by subtracting this from the total number of boys:
Number of boys not studying statistics = Total number of boys - Number of boys studying statistics
Number of boys not studying statistics = 100 - 36
Number of boys not studying statistics = 64

Step 3: Calculate the Probability
Now, we can calculate the probability of selecting a boy who is not studying statistics. The probability is given by the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the favorable outcomes are the number of boys not studying statistics, which is 64. The total number of possible outcomes is the total number of students in the class, which is 100.

Probability = Number of boys not studying statistics / Total number of students
Probability = 64 / 100
Probability = 0.64

Since the probability is usually expressed as a fraction, we can simplify it by dividing both the numerator and denominator by 4:

Probability = 16 / 25

Step 4: Compare the Probability with the Given Options
Now, we need to compare the calculated probability with the given options.

16/25 is equivalent to 4/5, and the given options include 4/5 as one of the options. Therefore, the correct answer is option C) 1/5.

Answer:
The probability that a randomly picked boy is not studying statistics is 1/5.
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There are 100 students in a college class of which 36 are boys studying statistics and 13 girls not studying statistics. If there are 55 girls in all, then the probability that a boy picked up at random is not studying statistics, isa)3/5b)2/5c)1/5d)4/5e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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