Question

Look at the question & write your answer for ABC

Answer 1

From the given table;

The total possible outcome is 500

The even numbers are 2, 4 and 6.

Their experimental probabilities are

`\begin{gathered} P(2)=(84)/(500) \\ P(4)=(81)/(500) \\ P(6)=(89)/(500) \end{gathered}`

a) The experimental probability of rolling an even number is

`\begin{gathered} P(even)=(84)/(500)+(81)/(500)+(89)/(500) \\ P(even)=(84+81+89)/(500)=(254)/(500)=(127)/(250) \\ P(even)=(127)/(250) \end{gathered}`

Hence, the experimental probability of rolling an even number is 127/250

b) Assuming the cube is fair,

The even numbers are 2. 4 and 6

`nP(even)=3`

The total possible outcome is 6

The theoretical probability of rolling an even number is

`\begin{gathered} P(even)=(3)/(6)=(1)/(2) \\ P(even)=(1)/(2) \end{gathered}`

Hence, the theoretical probability of rolling an even number is 1/2

c) Assuming the cube is fair,

The larger the number of rolls, the greater the likelihood that the experimental probability will be close to the theoretical probability