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You roll a number cube twice. Find
P
(
even, then not
2
)
. Write the probability as a fraction in simplest form.
The number cube has 6 equally likely outcomes: 1, 2, 3, 4, 5, or 6.
To find the probability of rolling an even number followed by a number that is not 2, we need to first determine the number of outcomes that satisfy this condition, and then divide by the total number of possible outcomes.
Rolling an even number on the first roll leaves us with three possible outcomes for the second roll: 1, 3, or 5. Rolling any of these numbers would satisfy the condition of not rolling a 2. Therefore, there are 3 outcomes that satisfy the condition of rolling an even number followed by a number that is not 2.
Since there are 6 possible outcomes for each roll, there are a total of 6 x 6 = 36 possible outcomes when rolling the number cube twice. Therefore, the probability of rolling an even number followed by a number that is not 2 is:
P(even, then not 2) = number of outcomes that satisfy the condition / total number of possible outcomes
P(even, then not 2) = 3 / 36
Simplifying the fraction by dividing both numerator and denominator by 3, we get:
P(even, then not 2) = 1 / 12
Therefore, the probability of rolling an even number followed by a number that is not 2 is 1/12.
and the answer is?
The answer is P(even, then not 2) = 1/12.
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A number cube is rolled 450 times. The number 3 comes up 67 times.
What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
The theoretical probability of rolling a 3 is the number of ways to roll a 3 divided by the total number of equally likely outcomes. Since there is only one way to roll a 3, and there are six equally likely outcomes, the theoretical probability of rolling a 3 is:
Theoretical probability of rolling a 3 = 1/6
The experimental probability of rolling a 3 is the number of times a 3 actually comes up divided by the total number of rolls. In this case, the number 3 comes up 67 times out of 450 rolls. Therefore, the experimental probability of rolling a 3 is:
Experimental probability of rolling a 3 = 67/450
Neither of these probabilities can be simplified, so the final answers are:
Theoretical probability of rolling a 3 = 1/6
Experimental probability of rolling a 3 = 67/450
and the answer is
The theoretical probability of rolling a 3 is 1/6, and the experimental probability of rolling a 3 is 67/450.
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You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability
P
(
A
)
. Write the probability as:
a fraction in simplest form
a decimal
a percent