Question 200200
Let's use the table below to answer these questions:


<pre>

Traveler 	   Male 		Female	 	Total
Business	   47	                 72	         119
Vacation	   71	                 64	         135
Total 	          118	                 136             254 

</pre>


a)

*[Tex \LARGE P(\text{Male})=\frac{\text{Number of Males}}{\text{Total Number of People}}=\frac{118}{254}=\frac{59}{127}]


So the chances are {{{59/127}}} giving a decimal value of 0.4646 or a 46.46% chance

b)


*[Tex \LARGE P(\text{On Vacation Given Female})=\frac{\text{Number of Female Vacationers}}{\text{Total Number of Women}}=\frac{64}{136}=\frac{8}{17}]


So the chances are {{{8/17}}} giving a decimal value of 0.4706 or a 47.06% chance

c)


*[Tex \LARGE P(\text{Male given on vacation})=\frac{\text{Number of Males on Vacation}}{\text{Total Number of Vacationers}}=\frac{71}{135}]


So the probability is {{{71/135}}} giving a decimal value of 0.5259 or a 52.59% chance