Another
way:
+
Especially in a complex problem such as this one, keep track of where you are in the solution
process—you’re not done yet! The fraction represents the probability of no heads or one
heads; you want the probability of getting two, three, four, or five heads. Recall that 1 –
Prob 0 heads or 1 heads = Prob2, 3, 4, or 5 heads , so
Notice that this is quite a high probability—more than , or 75%. What does that tell you?
That your answer was so high a probability means that you were smart to solve using the
indirect, “1 minus” approach rather than the direct approach, which would have entailed
writing out all the different ways a fair coin tossed five times could have landed heads up
two times, and then three times, and then four times, and then five times.
10 . D
Re-express the equation in exponential form. The base is x, the exponent is 3, and the result
is 6:
11 . A
First factor the numerator and denominator and cancel common factors: