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Suppose a die is rolled 400 times and the number of times a 5 is rolled is 60 Calculate the empirical probability of rolling a 5 based on this data?
15
What is the probability of rolling the same number when three number cubes are rolled?
The first roll doesn't matter for probability, it just sets the number to be rolled by the other two. So: P(rolling the same number three times) = P(rolling a particular number)2 = (1/6)2 = 1/36
A number cube is rolled 2 times in a row What is the probability of rolling a 3 both times?
When a number cube is rolled twice, there are 36 possible outcomes. (1,1),(1,2),....(6,6). (3,3) occurs only once. Therefore, the probability of rolling a 3 both times is 1/36.
A number cube was rolled as part of an experiment. The results are shown in the table. Explain how to find the experimental probability of rolling a 6.?
To find the experimental probability of rolling a 6, you first need to determine the number of times a 6 was rolled during the experiment. Then, divide that number by the total number of rolls recorded in the table. The resulting fraction represents the experimental probability of rolling a 6. For example, if a 6 was rolled 5 times out of 30 total rolls, the experimental probability would be 5/30, which simplifies to 1/6.
What is the experimental probability of rolling a 4 in the trial shown?
To determine the experimental probability of rolling a 4, you need to divide the number of times a 4 was rolled by the total number of rolls conducted in the trial. For example, if a 4 was rolled 3 times out of 20 rolls, the experimental probability would be 3/20, or 0.15. This probability reflects the observed outcomes based on the specific trial conducted.
What is the probability of rolling 6 and four in backgammon three times in a row?
The answer depends on how many times in total the dice are rolled. As the total number of rolls increases, the probability rolling a 6 and 4 three times in a row increases towards 1.
What is the theoretical probability of rolling a 5 on a number cube if it is rolled 300 times?
The theoretical probability of rolling a 5 on a standard six sided die is one in six. It does not matter how many times you roll it, however, if you roll it 300 times, the theoretical probability is that you would roll a 5 fifty times.
If a hexahedral die is rolled two times what is the probability of not rolling a five both times?
25/36
Die is rolled 9 times probability of rolling no more than 2 threes?
It is 0.8217
If a dice is rolled three times what is the probability of rolling a 3 each time?
50% chance
A die is rolled 10 times what the probbility all are 6?
The probability of rolling a 6 is 1/6. The probability of rolling 10 times a 6 is (1/6)10 or 1.654X10-8.
If a die is rolled 375 times and 5 occurs 80 times what is the probability of rolling a 5?
The probability of rolling a 5, based on the information given, is 80/375 or 16/75. Your problem describes a relative frequency approximation of probability.
