Mathematics, 04.08.2021 18:40 destineenikole17

Find the probability A bag contains 6 red marbles, 8 blue marbles, and 9 green marbles. What is the probability of choosing a blue marble?

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Answer from: nae9587

Answer is in a box.

The bag contains 6 red marbles, 8 blue marbles and 9 green marbles, that is 23 marbles.

The probability that one of the 23 marbles will be picked is 1 or 100%, we are picking a marble for sure.

So what is the probability you will pick for example one of the 6 red marbles? It is 6 out of 23 but since we need percentages multiply by 100,

$\frac{6}{23}\cdot100\approx26.09\%$

The probability to pick a blue marble is,

$\boxed{\frac{8}{23}}\cdot100\approx34.78\%$

And the probability to pick a green marble is,

$\frac{9}{23}\cdot100\approx39.13\%$

To check that everything is right you can sum all the probabilities; the probability that it will be either red, blue or green is 100% so the individual probabilities must sum to 100%, and they do,

$26.09\%+34.78\%+39.13\%=100\%$

Hope this helps :)

Answer from: Quest

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation:

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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Find the probability A bag contains 6 red marbles, 8 blue marbles, and 9 green marbles. What is the...