The faces on a fair number cube are labelled 1, 2, 3, 4, 5 and 6. Steven rolls the number cube 48 times.How many times should Steven expect to roll a 3?
a)3
b)8
c)16
d)24
what does "/" represent?
1/6 = ?/48
Divide.
1/6 is a fraction. We could also say that the number cube will show a 3 only 1 time out of 6.
What is an equivalent fraction with 48 as the denominator?
To find out how many times Steven should expect to roll a 3 when rolling the number cube 48 times, we can use the concept of probability.
The probability of rolling a 3 on any given roll is 1/6, since there is one face with a 3 out of a total of six faces. This means that out of every 6 rolls, we can expect to get a 3 once.
To determine how many times Steven should expect to roll a 3 in 48 rolls, we divide 48 by 6:
48 ÷ 6 = 8
Therefore, Steven should expect to roll a 3 8 times when rolling the number cube 48 times.
So, the correct answer is b) 8.