Question

If Matthew rolls a number cube 90 times, how many times can he expect it to land on an odd number?

Answer 1

45 times

Step-by-step explanation:

A six-sided number cube has the following numbers written on its six faces.

1, 2, 3, 4, 5, 6

As can be seen, three of the above numbers (1, 3 and 5) are odd. This means that half of the cube faces have odd numbers printed on them.

`\frac{3\text{odd numbers}}{6\text{ numbers}}=(1)/(2)`

Therefore, the probability that a toss would land on an odd number is 1/2 or 50%.

Now if we do 90 tosses, then we expect that 50% of them would give us an odd number.

Therefore, the number of tosses we expect to give an odd number is

`90*(1)/(2)=45`

Hence, we expect the number cube to give us odd numbers 45 times out of 90 tosses.