Chapter 10, Problem 18CR

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 18CR

The probability in fraction is $0$ .

The probability in percent is $0\%$ .

Probability of the event is impossible 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 $=\left\{null\right\}$ .

Number of favourable outcomes $=0$ .

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

  $\begin{array}{l}\mathrm{P}(2\mathrm{in}\mathrm{ones}\mathrm{digit})=\frac{0}{10}=0\\ \mathrm{In}\mathrm{percent}=0\times 100\%=0\%\end{array}$

Probability of event is equal to $0\%$ , So the event is impossible to occur.

Thus, the probability in fraction is $0$ ,the probability in percent is $0\%$ and probability of the event is impossible to occur.