For a bill to come before the president of the United States, it must

Question

For a bill to come before the president of the United States, it must be passed by both the House of Representatives and the Senate. Assume that, of the bills presented to these two bodies, 60 percent pass the House, 80 percent pass the Senate, and 90 percent pass at least one of these two. What is the probability that the next bill presented to the two groups will come before the president?

A. 46%
B. 48%
C. 50%
D. 52%
E. 90%

Are You Up For the Challenge: 700 Level Questions

A. 46%
B. 48%
C. 50%
D. 52%
E. 90%

Are You Up For the Challenge: 700 Level Questions

chetan2u · Answer

60 percent pass the House, 80 percent pass the Senate, and 90 percent pass at least one of these two.
Say x% pass both bodies, then we subtract x, which is common to both the groups, and that is our answer too.
=> 60+80-x=90....x=50

C

APram · Answer

I have answered it the following way:

% passed by atleast house or senate = sum of % pass by house and senate - % pass by both the house

=> 90 = 60 + 80 - % pass by both the house

=> % pass by both the house = 140-90=50%

Answer is option C

DonBosco7 · Answer

Got to remember that "at least one of two" mean - either house or senate.

P(a or b) = P(a) + P(b) - P(a & b)

90 = 60 + 80 - x

AnujSingh0147 · Answer

p(success in house) = p(A) = 0.6
p(success in senate) = p(B) = 0.8
p(success in at least one of these two) = p(A or B) = 0.9
p(bill reaches president) = p(A and B) = ?

Since the events A and B described here are Mutually exclusive (i.e. That if one happens B did not happen or vice versa)
p(A or B) = p(A) + p(B) - p(A and B)
p(A and B) = 0.6+0.8-0.9 = 0.5

For a bill to come before the president of the United States, it must

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For a bill to come before the president of the United States, it must

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

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Perfect 805 Score Debrief by Julia

My Rewards