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p is the probability that a school’s hockey team wins today.

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p is the probability that a school’s hockey team wins today. [#permalink] New post   14 Oct 2020, 08:30
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\(p\) is the probability that a school’s hockey team wins today.
\(s\) is the independent probability that the school’s lacrosse team wins today.
\(p\) and \(s\) are not both equal to 0.


Quantity A
Quantity B
\(p+s\)
\(ps\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Olasunbo
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Re: p is the probability that a school’s hockey team wins today. [#permalink] New post   14 Oct 2020, 11:27
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I have seen this kind of question inside OG before

just choose any 2 fraction between 0 and 1
addition will be greater than multiplication
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Re: p is the probability that a school’s hockey team wins today. [#permalink] New post   14 Oct 2020, 13:12
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Olasunbo wrote:
I have seen this kind of question inside OG before

just choose any 2 fraction between 0 and 1
addition will be greater than multiplication



The concept tested are always the same over and over again
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anasp99
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Re: p is the probability that a school’s hockey team wins today. [#permalink] New post   15 Oct 2020, 14:09
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Another way to think about is that it never states that either of them could NOT be 0. It simply states that they both cannot be 0, so set one of them equal to 0 and you quickly realize that the Quantity B is going to be 0 while quantity A will be an actual number greater than 0.
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akumar24
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Re: p is the probability that a school’s hockey team wins today. [#permalink] New post   16 Oct 2020, 18:30
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This question is more about algebra than probability, Since probability can't be > 1
we know number are in range 0-1
hence any number between 0 and 1 when multiplied by another number between 0 and 1 reduces in value so option A is correct.
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Re: p is the probability that a school’s hockey team wins today. [#permalink] New post   21 Oct 2020, 09:58
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p+s = P(A U B)+P(A and B) = P(A U B)+p*s.
Since we do not have both equal zero at the same time, P(A U B) >0. Therefore, p+s>p*S
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Re: p is the probability that a schools hockey team wins today. [#permalink] New post   06 Jun 2024, 21:01
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The maximum of ps = 0.5*0.5 = 0.25.
p+s =1 > ps

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Re: p is the probability that a schools hockey team wins today. [#permalink] New post   09 Jul 2024, 21:33
Multiplication of two fractions vs addition of same two fractions meaning addition is greater than multiplication
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Re: p is the probability that a schools hockey team wins today. [#permalink]
09 Jul 2024, 21:33
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