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VladimirAG [237]
3 years ago
11

How to calculate a probability

Mathematics
1 answer:
Lelu [443]3 years ago
6 0
Probability is calculated by comparing the odds to a certain event occurring to the number of possible events.

P=\frac{possibility-of-an-event-occuring}{number-of-total-outcomes}

For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.

P(4)=1/6

Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:

1
2
3
4
5
6

Of the 6 possibilities, 3 are even numbers.

P(even)=3/6 or 1/2
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Lucy fills a bathroom sink with water. Is the amount of water more than 1 liter, about 1 liter or less than 1 liter? Explain how
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Proposed Answer
Much more than 1 liter.

Make a guess.
Suppose the bathroom sink is about 15 inches across. That's actually not very big for a bathroom sink. But it makes up for the other estimate I'm going to make. 

Suppose the sink is 7 1/2 inches deep at it's deepest point. So what you have is a 1/2 sphere. Figure this out in ccs. That way you have a simple conversion to make.

Conversion
1 in = 2.54 cm
7 1/2 in = x       Cross multiply

x * 1 inch= 7 1/2 * 2.54
x  =  6.5 * 2.54
x = 19.05 cm

x is actually the radius of the 1/2 sphere.
pi = 3.14
r = x = 19.05 cm

V = (4/3) pi * 19.05^3 / 2
V =  86831 / 6
V = 14471 ccs

1 L = 1000 cc
x  =    14471 cc

x = 14.471 Liters. That's 14.5 times bigger than 1 Liter. Most sinks are about 7 1/2 inches deep but they are more across than 15 inches. So my answer is much  more than 1 Liter.  <<<<< Answer

Answer much more than a liter.
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