BTGmoderatorLU wrote:Source: e-GMAT
If the probability of Ronaldo will score at least 3 goals in the match is 0.59 and the probability that Ronaldo's team will win the match is 0.73. What is the greatest probability that neither of the two events will occur?
A. 0.1107
B. 0.27
C. 0.41
D. 0.5693
E. 0.62
Let G = at least 3 goals and NG = not at least 3 goals.
Let W = win the match and NW = not win the match.
Use a DOUBLE-MATRIX to organize the data:
The probability that Ronaldo will score at least 3 goals in the match is 0.59.
The probability that Ronaldo's team will win the match is 0.73.
Since G = 0.59, NG = 0.41.
Since W = 0.73, NW = 0.27.
The following matrix is yielded:
What is the greatest probability that neither of the two events will occur?
Since the rightmost box in the center row = 0.27, the greatest possible value for the center box -- which represents the probability that neither event occurs -- is 0.27:
s
The correct answer is
B.
Last edited by
GMATGuruNY on Thu Sep 27, 2018 5:29 am, edited 1 time in total.
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