The probability of rain tomorrow is #0.7#. The probability of rain the next day is #0.55# and the probability of rain the day after that is #0.4#. How do you determine #P("it will rain two or more days in the three days")#?
Working this out:
As denominator is the same, we only add the numerator of the fraction.
You could work in decimals if you want, but I find fractions easier to work with. Or you could just convert at the end...
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The question is asking for the probability of rain on two or three days. The only situations NOT included are rain on only one day and no rain at all.
There are 3 options, rain on only the first or the second or third day.
Fractions are probably easier to use,
It turns out that one method is not quicker or easier than the other,
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To determine the probability of rain on two or more days in the three-day period, you can use the complement rule. First, find the probability of no rain on any of the three days, which is the complement of the event of raining on two or more days. Then subtract this probability from 1.
P(no rain on any day) = (1 - 0.7) * (1 - 0.55) * (1 - 0.4)
Next, subtract this probability from 1 to find the probability of raining on two or more days:
P(rain on two or more days) = 1 - P(no rain on any day)
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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