If Matthew rolls a number cube 90 times, how many times can he expect it 2 poilto land on an odd number?
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Solution
The total face of a cube is 6
Possible odd 1,3,5
[tex]Probability\text{ =}\frac{Possible\text{ outcome}}{Total\text{ outcome}}[/tex]The cube is numbered one through six, and the odd numbers are therefore 1,3,5. So the probability of rolling an odd number in any given single roll is
[tex]\frac{3}{6}=\frac{1}{2}[/tex]Multiplying this probability by the number of times she rolls the cube gives
[tex]\frac{1}{2}\times90=45[/tex]The final answer
[tex]45[/tex]