A probability experiment is conducted in which the sample space of the experiment is s= 2,3,4,5,6,7,8,9,10,11,12,13 event f= 4,5,6,7,8,9 and event g= 8,9,10,11
Find p(f or g) counting the number of outcomes in f or g
p(f or g) = 7/12
To find the probability of event f or g (denoted as p(f or g)), we need to find the number of outcomes in either event f or event g and divide it by the total number of outcomes in the sample space.
First, we'll count the number of outcomes in event f. The outcomes in event f are 4, 5, 6, 7, 8, and 9, so there are 6 outcomes in f.
Next, we'll count the number of outcomes in event g. The outcomes in event g are 8, 9, 10, and 11, so there are 4 outcomes in g.
To find the number of outcomes in either event f or event g, we need to add the number of outcomes in each event. In this case, there are 6 outcomes in event f and 4 outcomes in event g, so the total number of outcomes in either event f or event g is 6 + 4 = 10.
Finally, we'll divide the number of outcomes in either event f or event g (10) by the total number of outcomes in the sample space (12) to find the probability:
p(f or g) = (number of outcomes in f or g) / (total number of outcomes in the sample space)
= 10 / 12
= 5 / 6
Therefore, the probability of event f or g (p(f or g)) is 5/6.