Suppose you roll a fair, six-sided number cube.
List the sample space.
List one possible event.
Calculate the probability of that event.
The sample space (possible outcomes) is 1, 2, 3, 4, 5, and 6. There is 6 possible outcomes.
A possible event is getting 3.
There is 1 favorable outcome of getting 3 in the sample space.
1/6 is the probability as a fraction.
Divide the numerator by the denominator. 1 ÷ 6 = 0.17 (rounded to the nearest hundredth)
0.17 × 100 = 17 %
So, the probability of getting a 3 is 1/6, or 17 %.
thank you snowflake
A. 1,2,3,4,5,6
B. Side 2
C. 17 percent
Sample space: {1, 2, 3, 4, 5, 6}
Possible event: Rolling an even number
Probability of the event: Since there are three even numbers (2, 4, 6) out of a total of six numbers in the sample space, the probability of rolling an even number is 3/6, which simplifies to 1/2.
To list the sample space, we need to identify all the possible outcomes of rolling a fair, six-sided number cube. The cube has six faces numbered 1 to 6. Therefore, the sample space is {1, 2, 3, 4, 5, 6}.
An event is a subset of the sample space. Let's consider the event of rolling an even number. The possible outcomes of this event are {2, 4, 6}.
To calculate the probability of this event, we divide the number of favorable outcomes (rolling an even number) by the total number of possible outcomes (the sample space). In this case, the number of favorable outcomes is 3 (the even numbers 2, 4, 6) and the total number of possible outcomes is 6. Therefore, the probability of rolling an even number is 3/6 or 1/2, which simplifies to 0.5 or 50%.