Apply the formula for calculating the probability of events a or b there are four presidential candidates in a country a street survey was conducted asking 2000 and 500 registered voters which candidate they will vote for in the coming election the table summarizes the results of the surveys. If 1000 more voters are surveyed how many of them will likely defer candidates three or four?
To calculate the probability of events a or b, you can use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
In this case, let's assume:
Event A = Voters choosing candidate three (400 out of 2000 surveyed)
Event B = Voters choosing candidate four (100 out of 500 surveyed)
P(A) = 400/2000 = 0.2
P(B) = 100/500 = 0.2
P(A and B) = 0, as we are assuming that no voters choose both candidate three and candidate four.
Therefore, the probability of voters choosing either candidate three or four is:
P(Three or Four) = P(Three) + P(Four) = 0.2 + 0.2 = 0.4
If 1000 more voters are surveyed, we can expect that approximately 0.4 (40%) of them will likely choose either candidate three or four. So, out of these new 1000 voters, around 400 of them will likely choose candidate three or four.