Answer :
Chance of getting number greater than 4 on one roll:
Either getting a 5 or 6
2/6 probability
2/6 = 1/3
If we roll the cube 12 times, the probability of getting a number greater than 4 is 1/3 of the time
12 * 1/3 = 4
She is expected to get a number greater than 4, 4 times
Monique gets a number greater than 4 on the cube 4 times when she rolled it 12 times.
What is the probability?
The probability is defined as the ratio of the count of favorable outcomes of an event to the total count of outcomes of the event. I.e., [tex]P(A)=\frac{n(A)}{n(S)}[/tex].
Where A is an event, n(A) is the number of favorable outcomes of event A and n(S) is the total number of outcomes drawn by the event.
Calculation:
Given that Monique rolls the number cube 12 times.
A cube has 6 faces with numbers 1, 2, 3, 4, 5, and 6 on each of the faces respectively.
So, there are only two numbers that are greater than 4, which are 5 and 6 on the cube.
That means the favorable outcomes = 2
The total number of outcomes for 12 times rolling a cube = 6
Then, the probability is [tex]P(A)=\frac{2}{6}=\frac{1}{3}[/tex]
Thus, on multiplying the obtained probability with the number of times,
12 times × [tex]\frac{1}{3}[/tex] = 4 times.
So, for 4 times she expects a number greater than 4 to be rolled.
Learn more about the probability here:
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