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?
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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?
Q: 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?
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.
