A single die is rolled.
(a) What is the probability that the number on top is a 3. (Give your answer correct to two decimal places.)
(b) What is the probability that the number on top is an odd number. (Give your answer correct to two decimal places.)
(c) What is the probability that the number on top is a number less than 5. (Give your answer correct to two decimal places.)
(d) What is the probability that the number on top is a number no greater than 3. (Give your answer correct to two decimal places.)
a) one possibility out of 6.
b) 1, 3, 5
c) 1, 2, 3, 4
d) 1, 2, 3
Translate into probabilities.
To find the probabilities for each of these questions, we can first determine the total number of possible outcomes, and then calculate the number of favorable outcomes.
The total number of possible outcomes when rolling a single die is 6, as there are six sides labeled with the numbers 1 to 6.
(a) To find the probability that the number on top is a 3, we need to determine the number of favorable outcomes. In this case, there is only 1 favorable outcome (getting a 3). Therefore, the probability is 1/6, or approximately 0.17.
(b) To find the probability that the number on top is an odd number, we count the number of favorable outcomes. In this case, the favorable outcomes are 1, 3, and 5 (3 odd numbers out of a total of 6 possible outcomes). Therefore, the probability is 3/6, or 1/2, which is approximately 0.50.
(c) To find the probability that the number on top is a number less than 5, we count the number of favorable outcomes. In this case, the favorable outcomes are 1, 2, 3, and 4 (4 numbers less than 5 out of a total of 6 possible outcomes). Therefore, the probability is 4/6, or 2/3, which is approximately 0.67.
(d) To find the probability that the number on top is a number no greater than 3, we count the number of favorable outcomes. In this case, the favorable outcomes are 1, 2, and 3 (3 numbers no greater than 3 out of a total of 6 possible outcomes). Therefore, the probability is 3/6, or 1/2, which is approximately 0.50.