Uniform Probability Models Practice

1. A six-sided die is rolled. What is the probability of rolling a 4?

Since there are 6 possible outcomes (1, 2, 3, 4, 5, 6) and only one of these outcomes is a 4, the probability of rolling a 4 is 1/6.

2. A spinner is divided into 8 equal sections, numbered 1 through 8. What is the probability of landing on a multiple of 3?

There are 8 possible outcomes (1, 2, 3, 4, 5, 6, 7, 8) and three of these outcomes are multiples of 3 (3, 6, 9). Therefore, the probability of landing on a multiple of 3 is 3/8.

3. A deck of cards is shuffled and one card is drawn. What is the probability of drawing a red card?

There are 52 cards in a deck, with 26 of them being red (hearts and diamonds). Therefore, the probability of drawing a red card is 26/52 or 1/2.

4. A bag contains 10 marbles - 4 red, 3 blue, and 3 green. If one marble is randomly selected from the bag, what is the probability of selecting a blue marble?

There are a total of 10 marbles in the bag, with 3 of them being blue. Therefore, the probability of selecting a blue marble is 3/10.

5. A coin is flipped. What is the probability of getting heads?

Since there are 2 possible outcomes (heads or tails) and only one of these outcomes is heads, the probability of getting heads is 1/2.