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  1. Home
  2. 12th grade
  3. Statistics & Probabilities
  4. Exercise : Calculate conditional probabilities

Calculate conditional probabilities Statistics & Probabilities

In a bag there are 5 red marbles and 7 blue marbles. John picks a marble and then picks another marble without putting the first one back.

What is the probability of John getting two blue marbles?

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In a bag there are 10 green tickets and 6 yellow tickets. Steve picks a ticket and then picks another ticket without putting the first one back.

What is the probability of Steve getting a green ticket on the first pick and a yellow ticket on the second pick?

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In a bag there are 7 red marbles, 9 blue marbles, 10 green marbles. George picks a marble, then a second marble, and then a third marble without putting either the first or the second marble back.

What is the probability of George getting three green marbles?

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In a 52 card deck, we pick one card and then pick a second one without putting the first one back. What is the probability of drawing two aces?

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We roll two fair dice. What is the probability of getting at least one 6, given that the numbers are different?

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A family has two children. We know that one of the children is a girl. What is the probability that both children are girls?

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Jane rolls a fair die. What is the probability of getting 5 if we know that the outcome is a prime number.

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See also
  • Course : Introduction to probabilities
  • Exercise : Calculate basic probabilities
  • Exercise : Determine whether events are dependent or independent
  • Exercise : Use the multiplication rule to determine the probability of an intersection of events
  • Exercise : Use permutations and combinations to determine the number of outcomes of an experiment
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