survey is made in a neighborhood of 80 voters 65 are Democra

survey is made in a neighborhood of 80 voters. 65 are Democrats and 15 are Republicans. Of the Democrats, 35 are women, while 5 of the Republicans are women. If one subject from the group is randomly selected, find the probability the individual is either a woman or a Democrat. .538

Solution

We tabulated the data in a 2X2 table.

D=The event that a individual is Democrat.

W=The individual is a Woman.

P[D or W]=P[D]+P[W]-P[DW]=(65/80) + (40/80) - (35/80) =0.8125+0.5-0.4375 = 0.875