Question

1. allan loves to play solitaire on his computer. in the past month, allan has played solitaire a total of 257 times. he lost 68 of these 257 games but won all other games. if we randomly select one of the solitaire games that allan played in the last month, the probability he will have won that game is equal to what value? please round your answer to three decimal places.

Explanation:

Step1: Calculate the number of won games

The total number of games is \(n = 257\). The number of lost games is \(l=68\). The number of won games \(w=n - l\). So \(w = 257-68=189\).

Step2: Calculate the probability

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (won games) is \(w = 189\) and the total number of outcomes (total games) is \(n = 257\). So \(P=\frac{189}{257}\).
Using a calculator, \(\frac{189}{257}\approx0.735\)

Answer:

\(0.735\)