Mathematics, 28.08.2019 03:30, Hfruit

There are 2 green marbles, 4 blue marbles, 1 red marble, and 8 yellow marbles in a bag. once a marble is drawn, it is not replaced. find the probability of the outcome. p(a blue marble then a green marble)
answers are:
4/105
6/29
8/225
1/35

Answers: 1

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Answers

answered: eldercunningham

P(a blue marble then a green marble) is 4/105 ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to solve the problem

- There are 2 green marbles

- There are 4 blue marbles

- There are 1 red marble

- There are 8 yellow marbles

- Once a marble is drawn, it is NOT replaced

- We need to find P(a blue marble then a green marble)

* At first lets find the total number of marbles by adding all color

∵ There are 2 green , 4 blue , 1 red and 8 yellow

∴ The total number of marbles = 2 + 4 + 1 + 8 = 15

∴ There are 15 marbles in the bag

∵ Probability = number of events/number of all outcomes

∵ There are 4 blue marbles

∴ The probability of chosen a blue marble is P(blue) = 4/15

∵ Once a marble is drawn, it is NOT replaced

∴ The total number of marbles = 15 - 1 = 14 marbles

∵ The number of green marbles is 2

∴ The probability of chosen a green marble is P(green) = 2/14

∵ P(a blue marble then a green marble) = P(blue) . P(green)

∵ P(blue) = 4/15

∵ P(green) = 2/14

∴ P(a blue marble then a green marble) = (4/15)(2/14) = 4/105

* P(a blue marble then a green marble) is 4/105

answered: ashley968

$\frac{4}{105}$

Step-by-step explanation:

In total there are 2 + 4 + 1 + 8 = 15 marbles

The probability of taking a blue is number of blue divided by number of total, so that would be

$\frac{4}{15}$

Since, it is not replaced, we can now say that there are 1 less marbles in the bag (since we took out a blue). Now probability of getting a green marble is:

$\frac{2}{14}=\frac{1}{7}$

In probability, "and" means "multiplication" and "or" means "addition".

Since we want Probability of blue marble and green marble, we multiply both:

$\frac{4}{15}*\frac{1}{7}=\frac{4}{105}$

THus, first answer choice is right.

answered: Guest

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

answered: Guest

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

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There are 2 green marbles, 4 blue marbles, 1 red marble, and 8 yellow marbles in a bag. once a marbl...