Conditional Probability

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Q. In a class of 40 students, 25 are girls and 15 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?
  • A. 1
  • B. 0.5
  • C. 0.25
  • D. 0.75
Q. In a class of 40 students, 25 are taking Mathematics, 15 are taking Physics, and 10 are taking both. What is the probability that a student is taking Physics given that they are taking Mathematics?
  • A. 1/4
  • B. 1/3
  • C. 1/2
  • D. 1/5
Q. In a deck of 52 cards, what is the probability of drawing a heart given that the card drawn is a red card?
  • A. 1/2
  • B. 1/4
  • C. 1/3
  • D. 1/5
Q. In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?
  • A. 1/2
  • B. 1/4
  • C. 1/3
  • D. 1/5
Q. In a family of 4 children, what is the probability that at least one is a girl given that there are at least 2 boys?
  • A. 1/2
  • B. 3/4
  • C. 1/4
  • D. 2/3
Q. In a family with 3 children, what is the probability that at least one child is a girl given that at least one child is a boy?
  • A. 0.75
  • B. 0.5
  • C. 0.25
  • D. 0.6
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?
  • A. 1/6
  • B. 1/3
  • C. 1/2
  • D. 1/4
Q. In a group of 100 people, 60 like football, 30 like basketball, and 10 like both. What is the probability that a person likes football given that they like basketball?
  • A. 0.5
  • B. 0.3
  • C. 0.6
  • D. 0.7
Q. In a group of 50 people, 20 are smokers and 30 are non-smokers. If a person is selected at random, what is the probability that the person is a non-smoker given that they are not a smoker?
  • A. 1
  • B. 0
  • C. 1/2
  • D. 1/3
Q. In a survey, 60% of people like tea, 30% like coffee, and 10% like both. What is the probability that a person likes coffee given that they like tea?
  • A. 0.5
  • B. 0.3
  • C. 0.2
  • D. 0.1
Q. In a survey, 60% of people like tea, and 40% like coffee. If a person is chosen at random, what is the probability that they like coffee given that they do not like tea?
  • A. 0.4
  • B. 0.6
  • C. 0.5
  • D. 1
Q. In a survey, 70% of people like tea and 30% like coffee. If a person is chosen at random, what is the probability that they like tea given that they do not like coffee?
  • A. 1/3
  • B. 2/3
  • C. 1/2
  • D. 1
Q. In a survey, 70% of people like tea and 40% like coffee. If 30% like both, what is the probability that a person likes coffee given that they like tea?
  • A. 0.4
  • B. 0.3
  • C. 0.5
  • D. 0.6
Q. In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea and coffee, what is the probability that a person likes coffee given that they like tea?
  • A. 0.4
  • B. 0.3
  • C. 0.5
  • D. 0.6
Q. In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea and coffee, what is the probability that a person likes tea given that they like coffee?
  • A. 0.5
  • B. 0.7
  • C. 0.3
  • D. 0.4
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