Probability of Chance Events Quick Check

1. What is the probability of spinning a red on a standard six-sided die?

Answer: There are 6 equally likely outcomes on a standard six-sided die, and only 1 of them is red. Therefore, the probability of spinning a red on a standard six-sided die is 1/6.

2. What is the probability of flipping a coin and getting heads?

Answer: There are 2 equally likely outcomes when flipping a coin, and only 1 of them is heads. Therefore, the probability of flipping a coin and getting heads is 1/2.

3. If you roll a fair six-sided die and flip a fair coin, what is the probability of rolling a 3 on the die and getting tails on the coin?

Answer: The probability of rolling a 3 on a fair six-sided die is 1/6, and the probability of getting tails on a fair coin is 1/2. Since the events are independent, the probability of both events occurring is the product of their individual probabilities: (1/6) * (1/2) = 1/12.