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In a group of 100 people, 60 like cricket, 30 like football, and 10 like both. W

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Question: In a group of 100 people, 60 like cricket, 30 like football, and 10 like both. What is the probability that a person likes football given that they like cricket?

Options:

  1. 1/6
  2. 1/3
  3. 1/2
  4. 1/4

Correct Answer: 1/6

Solution: 

P(Football|Cricket) = P(Football and Cricket) / P(Cricket) = 10/60 = 1/6.

In a group of 100 people, 60 like cricket, 30 like football, and 10 like both. W

Practice Questions

Q1
In a group of 100 people, 60 like cricket, 30 like football, and 10 like both. What is the probability that a person likes football given that they like cricket?
  1. 1/6
  2. 1/3
  3. 1/2
  4. 1/4

Questions & Step-by-Step Solutions

In a group of 100 people, 60 like cricket, 30 like football, and 10 like both. What is the probability that a person likes football given that they like cricket?
Correct Answer: 1/6
  • Step 1: Identify the total number of people in the group, which is 100.
  • Step 2: Identify how many people like cricket, which is 60.
  • Step 3: Identify how many people like football, which is 30.
  • Step 4: Identify how many people like both cricket and football, which is 10.
  • Step 5: To find the probability that a person likes football given that they like cricket, we need to use the formula: P(Football|Cricket) = P(Football and Cricket) / P(Cricket).
  • Step 6: Calculate P(Football and Cricket), which is the number of people who like both sports, so it is 10.
  • Step 7: Calculate P(Cricket), which is the total number of people who like cricket, so it is 60.
  • Step 8: Substitute the values into the formula: P(Football|Cricket) = 10 / 60.
  • Step 9: Simplify the fraction 10/60 to get 1/6.
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