Question

5. Find the number of possible routes from Eastland to Johnstownthat pass through Harping. Then find the probability that Stateand Fairview will be used if a route is selected at randomState the probability as a fraction and percent mies 23)EastlandJohnstownBroadwayMStateParkHarping6. Find the number of possible choices for a 2-digit number thatis greater than 19. Then find the number of possible choicesfor a 4-digit Personal Identification Number (PIN) if the digitscannot be repeated. 1

Answer 1

We need to decipher how many routes go from Eastland to Johnstown via Harping:

We have the Eastland via State to Harping via Main to Johnstown

We have the Eastland via Broadway to Harping via Main to Johnstown

We have the Eastland via State to Harping via Fairview to Johnstown

We have the Eastland via Broadway to Harping via Fairview to Johnstown

We have the Eastland via State to Harping via Park to Johnstown

We have the Eastland via Broadway to Harping via Park to Johnstown

All these mean that we have 6 routes.

We seek the probability,P of We have the Eastland via State to Harping via Fairview to Johnstown out of the whole possibilities giving the probability as

`\begin{gathered} P=\frac{\text{expected outcome}}{\text{total possible outcomes}}=(1)/(6) \\ As\text{ percent, we have }(1)/(6)*100=16.67\text{ percent} \end{gathered}`