Find probabilities using combinations
12th grade (Year 13 in England) · 16 questions · Common Core: HSS.CP.B.9 · England: A-level Statistics
Name
Date
Score/ 16
Question 1
In a game you choose 3 different numbers from 1 to 12. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.
Answer(as a fraction)
Question 2
A team of 3 is chosen at random from 6 girls and 3 boys. Find the probability that the team is all girls, as a fraction in simplest form.
Answer(as a fraction)
Question 3
In a game you choose 4 different numbers from 1 to 18. Then 4 winning numbers are drawn. What is the probability that you match all 4? Give a fraction.
Answer(as a fraction)
Question 4
A team of 4 is chosen at random from 8 girls and 5 boys. Find the probability that the team is all girls, as a fraction in simplest form.
Answer(as a fraction)
Question 5
In a game you choose 3 different numbers from 1 to 21. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.
Answer(as a fraction)
Question 6
A team of 4 is chosen at random from 5 girls and 4 boys. Find the probability that the team is all girls, as a fraction in simplest form.
Answer(as a fraction)
Question 7
In a game you choose 3 different numbers from 1 to 23. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.
Answer(as a fraction)
Question 8
A team of 3 is chosen at random from 6 girls and 5 boys. Find the probability that the team is all girls, as a fraction in simplest form.
Answer(as a fraction)
Question 9
In a game you choose 3 different numbers from 1 to 25. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.
Answer(as a fraction)
Question 10
A team of 2 is chosen at random from 4 girls and 6 boys. Find the probability that the team is all girls, as a fraction in simplest form.
Answer(as a fraction)
Question 11
In a game you choose 4 different numbers from 1 to 30. Then 4 winning numbers are drawn. What is the probability that you match all 4? Give a fraction.
Answer(as a fraction)
Question 12
A team of 3 is chosen at random from 4 girls and 5 boys. Find the probability that the team is all girls, as a fraction in simplest form.
Answer(as a fraction)
Question 13
In a game you choose 3 different numbers from 1 to 16. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.
Answer(as a fraction)
Question 14
A team of 3 is chosen at random from 4 girls and 7 boys. Find the probability that the team is all girls, as a fraction in simplest form.
Answer(as a fraction)
Question 15
In a game you choose 3 different numbers from 1 to 28. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.
Answer(as a fraction)
Question 16
A team of 3 is chosen at random from 7 girls and 6 boys. Find the probability that the team is all girls, as a fraction in simplest form.
Answer(as a fraction)
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