Grade 7 · Statistics & probability

Probability from number sets practice

Probability from number sets is a grade 7 math skill aligned to Common Core standard 7.SP.C.7.a. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 probability from number sets problems our math games drill.

CCSS 7.SP.C.7.a10 questions in the bank
Sample questions

Try 8 for free

Question 1easy

The whole numbers 11 through 2424 were each written on separate cards. Those 2424 cards were placed in a bag. One card will be randomly drawn from this bag. What is the probability that the card will show a number divisible by 44?

Multiples of 44 from 11 to 2424 are 4,8,12,16,20,244, 8, 12, 16, 20, 24, so there are 66 favorable outcomes: P=624=14P = \tfrac{6}{24} = \tfrac{1}{4}.

Question 2easy

The whole numbers 11 through 3636 were each written on separate slips of paper. Those 3636 slips were placed in a box. One slip will be randomly drawn from this box. What is the probability that the slip will show a prime number?

Prime numbers from 11 to 3636 are 2,3,5,7,11,13,17,19,23,29,312, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, giving 1111 favorable outcomes: P=1136P = \tfrac{11}{36}.

Question 3easy

The whole numbers 11 through 4040 were each written on separate pieces of paper. Those 4040 pieces were placed in a bowl. One piece will be randomly drawn from this bowl. What is the probability that the piece will show a perfect square?

Perfect squares from 11 to 4040 are 1,4,9,16,25,361, 4, 9, 16, 25, 36, so there are 66 favorable outcomes: P=640=320P = \tfrac{6}{40} = \tfrac{3}{20}.

Question 4easy

The whole numbers 11 through 5050 were each written on separate cards. Those 5050 cards were placed in a hat. One card will be randomly drawn from this hat. What is the probability that the card will show a number divisible by 55?

Multiples of 55 from 11 to 5050 are 5,10,15,20,25,30,35,40,45,505, 10, 15, 20, 25, 30, 35, 40, 45, 50, giving 1010 favorable outcomes: P=1050=15P = \tfrac{10}{50} = \tfrac{1}{5}.

Question 5easy

The whole numbers 11 through 3636 were each written on separate cards. Those 3636 cards were placed in a bag. One card will be randomly drawn from this bag. What is the probability that the card will show a two-digit number?

Two-digit numbers from 11 to 3636 are 1010 through 3636, giving 2727 favorable outcomes: P=2736=34P = \tfrac{27}{36} = \tfrac{3}{4}.

Question 6easy

The whole numbers 11 through 2424 were each written on separate slips of paper. Those 2424 slips were placed in a box. One slip will be randomly drawn from this box. What is the probability that the slip will show a factor of 2424?

Factors of 2424 from 11 to 2424 are 1,2,3,4,6,8,12,241, 2, 3, 4, 6, 8, 12, 24, giving 88 favorable outcomes: P=824=13P = \tfrac{8}{24} = \tfrac{1}{3}.

Question 7easy

The whole numbers 11 through 3030 were each written on separate pieces of paper. Those 3030 pieces were placed in a bowl. One piece will be randomly drawn from this bowl. What is the probability that the piece will show a composite number?

Composite numbers from 11 to 3030 exclude 11 (neither prime nor composite) and the 1010 primes (including 22, the only even prime), leaving 1919 favorable outcomes: P=1930P = \tfrac{19}{30}.

Question 8easy

The whole numbers 11 through 2424 were each written on separate cards. Those 2424 cards were placed in a hat. One card will be randomly drawn from this hat. What is the probability that the card will show a number greater than 1515?

Numbers greater than 1515 from 11 to 2424 are 16,17,18,19,20,21,22,23,2416, 17, 18, 19, 20, 21, 22, 23, 24, giving 99 favorable outcomes: P=924=38P = \tfrac{9}{24} = \tfrac{3}{8}.

Play it

Math games for Grade 7

Questions like these are served inside our head-to-head math games.

Blaster Gate gameBlaster GateBlast through the wall. First to clear wins.Blitz Tanks gameBlitz TanksSolve math to load shells. Out-think the battalion. Last math standing wins.
Tests that cover probability from number sets:
NAEPPSAT 8/9SBACSC READYNC EOG/EOC
More Grade 7 skills:
Ratios, rates, and proportionsProbability basicsProbability of simple eventsRatio, rate, and proportion word problemsSimple interestOne-event probability word problemsPercent proportion word problemsSampling and inferenceAll Grade 7 practice →

Drill it inside a game.

The free placement test finds your level, then every match serves probability from number sets questions at exactly the right difficulty.