Probability Basics Practice

Answer 1

1. What is the probability of rolling a 5 on a fair six-sided die?
- The probability of rolling a 5 on a fair six-sided die is 1/6 or approximately 0.167.

2. If you have a bag with 3 red marbles and 2 blue marbles, what is the probability of selecting a red marble randomly?
- The probability of selecting a red marble randomly is 3/5 or 0.6.

3. A spinner is divided into 8 equal sections, numbered 1 through 8. What is the probability of landing on an even number?
- There are 4 even numbers (2, 4, 6, and 8) out of 8 total numbers, so the probability of landing on an even number is 4/8 or 0.5.

4. If you have a deck of 52 playing cards, what is the probability of drawing a heart or a king?
- There are 13 hearts and 4 kings in a deck of cards, but one of the kings is also a heart (the king of hearts). So there are 13 + 3 = 16 cards that are either a heart or a king. The probability of drawing a heart or a king is 16/52 or 4/13.

5. If you flip a fair coin twice, what is the probability of getting heads on both flips?
- The probability of getting heads on the first flip is 1/2, and the probability of getting heads on the second flip is also 1/2. Therefore, the probability of getting heads on both flips is (1/2) x (1/2) = 1/4 or 0.25.