Thomas Baynes has applied to both Harvard and Yale. Baynes has determined that the probability of getting into Harvard is 25% and the probability of getting into Yale (his father’s alma mater) is 42%. Baynes has also determined that the probability of being accepted at both schools is 2.8%. What is the probability of Baynes being accepted at either Harvard or Yale?
A. 64.2%.
B. 7.7%.
C. 10.5%.
D. 67.0%.
Answer:A
Using the addition rule, the probability of being accepted at Harvard or Yale, is equal to: P(Harvard) + P(Yale) - P(Harvard and Yale) = 0.25 + 0.42 - 0.028 = 0.642 or 64.2%.