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The probability which event E occurs is 0.7 and the probability which

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The probability which event E occurs is 0.7 and the probability which [#permalink]

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The probability which event E occurs is 0.7 and the probability which event F occurs is 0.3. When event E and event F are independent, what is the range including the probability that neither E occurs nor F occurs?

A. 0.01~0.1
B. 0.1~0.2
C. 0.2~0.4
D. 0.4~0.6
E. 0.6~0.8
[Reveal] Spoiler: OA

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The probability which event E occurs is 0.7 and the probability which [#permalink]

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MathRevolution wrote:
The probability which event E occurs is 0.7 and the probability which event F occurs is 0.3. When event E and event F are independent, what is the range including the probability that neither E occurs nor F occurs?

A. 0.01~0.1
B. 0.1~0.2
C. 0.2~0.4
D. 0.4~0.6
E. 0.6~0.8


This Question just Looks extremely messy.
I have never heard this statement -> "range including the probability"
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Re: The probability which event E occurs is 0.7 and the probability which [#permalink]

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New post 09 Jan 2017, 10:12
p(not E) * P(Not F) = 3/10 * 7/10 = 21/100 = 0.21 --> 0.2 < 0.21 < 0.4 --> Ans C
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Re: The probability which event E occurs is 0.7 and the probability which [#permalink]

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New post 10 Jan 2017, 19:39
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==> It is about the probability that event E and F don’t occur.
Then, (1-0.7)(1-0.3)=(0.3)(0.7)=0.21 is derived, which includes C.

Answer: C
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Re: The probability which event E occurs is 0.7 and the probability which [#permalink]

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New post 09 Apr 2018, 09:47
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Re: The probability which event E occurs is 0.7 and the probability which   [#permalink] 09 Apr 2018, 09:47
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