# Sample space

A campus organization will select one day of the week for an end of year picnic. Assume that the weekdays, Monday through Friday, are equally likely and that each weekend day, Saturday and Sunday, is twice as likely as a weekday to be selected.

a) Assign probabilities to the seven outcomes.

b) Find the probability a weekday will be selected.

https://brainmass.com/statistics/sampling/sample-space-12406

#### Solution Preview

a) Let the probability of a weekday be : x

<br><br> Probability of weekend = 2x

<br><br>

<br><br> So total probability = 5*x + 2*2x ( Since there are 5 weekdays and 2 weekend ...

#### Solution Summary

The expert assigns probabilities to the seven outcomes. The expert finds the probability a weekday will be selected.

$2.49