Basic Level Problems
- A fair coin is tossed twice. What is the sample space for the possible outcomes?
- A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. A marble is randomly selected from the bag. What is the sample space for the possible outcomes?
- A die is rolled. What is the sample space for the possible outcomes?
- A deck of cards is shuffled and a card is drawn at random. What is the sample space for the possible outcomes?
- A roulette wheel has 38 slots, 18 of which are red, 18 are black and 2 are green. What is the sample space for the possible outcomes?
- A fair dice is rolled twice, What is the sample space for the possible outcomes?
- A bag contains 4 white balls and 6 black balls. A ball is drawn at random from the bag. What is the sample space for the possible outcomes?
- A spinner has four equal sections labeled A, B, C, and D. What is the sample space for the possible outcomes?
- A bag contains 3 red balls and 5 green balls. Two balls are drawn at random from the bag without replacement. What is the sample space for the possible outcomes?
- A bag contains 3 red balls, 4 blue balls and 5 green balls. Three balls are drawn at random from the bag without replacement. What is the sample space for the possible outcomes?
Keys
- The sample space for the possible outcomes of a fair coin tossed twice is {HH, HT, TH, TT}, where H represents heads and T represents tails.
- The sample space for the possible outcomes of selecting a marble from a bag containing 5 red marbles, 3 blue marbles, and 2 green marbles is {R, R, R, R, R, B, B, B, G, G}
- The sample space for the possible outcomes of rolling a die is {1, 2, 3, 4, 5, 6}
- The sample space for the possible outcomes of drawing a card from a deck of cards is {Ace of Spades, 2 of Spades, 3 of Spades, …, King of Hearts, Ace of Diamonds, 2 of Diamonds, …, King of Clubs}.
- The sample space for the possible outcomes of spinning a roulette wheel with 38 slots, 18 red, 18 black and 2 green is {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,00}
- The sample space for the possible outcomes of rolling a fair dice twice is {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
- The sample space for the possible outcomes of drawing a ball from a bag containing 4 white balls and 6 black balls is {W, W, W, W, B, B, B, B, B, B}
- The sample space for the possible outcomes of spinning a spinner with sections labeled A, B, C, and D is {A, B, C, D}.
- The sample space for the possible outcomes of drawing two balls from a bag containing 3 red balls and 5 green balls without replacement is {RG, RB, GB, GG, GG}
- The sample space for the possible outcomes of drawing three balls from a bag containing 3 red balls, 4 blue balls and 5 green balls without replacement is {RRB, RRG, RBB, RGB, RGG, BRB, BRG, BGB, BGG, GGB}.