Chapter 10, Problem 21CR

To determine

To find: The probability as a fraction and as a percent and describe the likelihood of the event as impossible, unlikely, equally likely, likely, or certain.

Answer to Problem 21CR

The probability in fraction is $1$ .

The probability in percent is $100\%$ .

Probability of the event is certain to occur.

Explanation of Solution

Given information: Ten sided solid whose identical faces are numbered with first ten square numbers.

Calculation: Ten sided solid whose identical faces are numbered with first ten square numbers.

The sample space is $\left\{1,4,9,16,25,36,49,64,81,100\right\}$ .

Total outcomes $=10$ .

Favourable outcomes is $\left\{1,4,9,16,25,36,49,64,81,100\right\}$ .

Number of favourable outcomes $=10$ .

  $\mathrm{P}(\mathrm{event})=\frac{\mathrm{number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{number}\mathrm{of}\mathrm{total}\mathrm{outcomes}}$

  $\begin{array}{l}\mathrm{P}(\mathrm{ones}\mathrm{digit}\mathrm{not}3)=\frac{10}{10}=1\\ \mathrm{In}\mathrm{percent}=1\times 100\%=100\%\end{array}$

Probability of event is equal to $100\%$ , So the event is certain to occur.

Thus, the probability in fraction is $1$ ,the probability in percent is $100\%$ and probability of the event is certain to occur.