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PSYCHO15rus [73]
3 years ago
5

Ms Adams shares out 21 pencils between Niamah and Jack in the ratio 2:5 how many pencils does each child get

Mathematics
2 answers:
aleksklad [387]3 years ago
5 0

Answer:

niamah : jack

2 : 5

2×3 : 5×3

6 : 15

niamah gets 6 pencils

jack gets 15 pencils

*6+15 = 21

iogann1982 [59]3 years ago
5 0

Answer:

Step-by-step explanation:

If the ratio of Niamah to Jack is 2:5, that means that for every 2 pencils that N gets, J gets 5. If there are a total of 21 pencils, then

2x + 5x = 21 and

7x = 21 so

x = 3.

That means that N gets 2(3) which is 6, and J gets 5(3) which is 15. Notice that 6:15 is the same ratio as 2:5 when it is reduced.

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Answer:

P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}

Step-by-step explanation:

Consider the following characteristics of the problem:

The numbers that are selected are different between 1 and 49. This means that the same number is not repeated twice.

The order in which the selected numbers appear does not matter:

This means that (123) = (312)

With this in mind, we know that it is a problem of combinations without repetition. It is not calculated using permutations because in the permutations the order of selection is important, for example: (123) is not equal to (312)

The formula for calculating combinations without repetition is:

nCr=\frac{n!}{r!(n-r)!}

Where n is the number of "elements" you can choose and choose r from them

In this case:

n=49

r=6

So:

49C6=\frac{49!}{6!(49-6)!}

49C6=13,983,816\ outcomes

There are 13,983,816 possible results

This is the best method to calculate the number of possible outcomes.

<em><u>"Besides your method, is there another method to determine the number of outcomes?"</u></em>

Sure, make a list of the 13,983,816 different sets of 6 numbers.

To win it is necessary to obtain the 6 winning numbers in any order. The number of ways this can occur is calculated by combining 6 in 6

6C6=\frac{6!}{6!(6-6)!}=1

Finally the probability of winning is:

P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}

Note that the probability of winning is very close to 0. It is practically impossible to win the lottery, you will probably never win anything. Therefore it is better not to invest money in this

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