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SCORPION-xisa [38]
3 years ago
12

Rebecca supplies costumes to a number of theater companies and recently lent out a number of different hats. turbans 6 berets 3

mortarboards 3 top hats 2 What is the experimental probability that the next hat requested from Rebecca's inventory will be a turban? Write your answer as a fraction or whole number.
Mathematics
1 answer:
barxatty [35]3 years ago
7 0

Answer:

3/7

Step-by-step explanation:

Probability a turban is lent = total number of turbans  lent / total number of hats lent

total number of hats lent = 6 + 3 + 3 + 2 = 14

6/14

To transform to the simplest form. divide both the numerator and the denominator by 2= 3/7

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The answer is 11/36

2/12 chance of rolling fours

because there are 2 sides containing a four on both dice combined and 12 sides in total.

Doubles mean you have to roll the same number simultaneously so let’s say we want to calculate the probability for double ones: then it’s 1/6 on the first dice for a one, and 1/6 on the second dice to land on a one as well.

I personally like to imagine a box like this:
_ _ _ _ _ _
|
|
|
|
|
|

If you have one dice then it’s just a random segment on one of the lines. If you want the specific result from two dice then you want two specific segments which is also the 1 specific tile out of 36 (6 width times 6 height). So you multiply.

1/6 * 1/6 = 1/36 chance to roll double of ones

And 1/36 chance to roll double twos, threes, fours, fives, and sixes. But we don’t count the double fours because any four will do. So:

1/36 * 5 = 5/36

So for the probability of either doubles or containing a four is the probability of doubles of either number plus the probability of either dice being a four:

5/36 + 2/12 =

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