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ziro4ka [17]
3 years ago
15

A bag contains 8 white marbles, 6 red marbles and 4 blue marbles. How many blue marbles must be added to the bag so that the pro

bability of choosing a blue marble is 1/2?
Mathematics
2 answers:
iren [92.7K]3 years ago
8 0

Answer:

5 marbles

Step-by-step explanation:

A bag contains

8 white marbles

6 red marbles

4 blue marbles.

Total number of marbles is :

8 + 6 + 4

= 18 marbles

Based on this current proportion

The Probability of choosing a blue marble = Number of blue marbles/ Total number of marbles

In order for the Probability of choosing a blue marble to be 1/2

The number of blue marbles has to be:

= 18 marbles × 1/2

= 9 blue marbles

From the question we have 4 blue marbles, hence:

9 blue marbles - 4 blue marbles

= 5 blue marbles

Therefore, 5 blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2.

Len [333]3 years ago
4 0

Answer:

The actual answer would be 10 marbles.

Step-by-step explanation:

1. <em>we had started off by adding </em>8+4+6 <em>to get the total number of marbles. If we do that, we will get that there are </em>18 marbles in total.

2. <em>here is where the others went wrong. If we say that we need 5 blue marbles to get 9/18 blue marbles, you are wrong. </em><em>This is because we have to add 5 to the total number of marbles as well. </em><em>Then we get 9/23 marbles. which is clearly not 1/2, </em>

3. <em>However, if we multiply 5 by 2, we get 10 blue marbles. if we add 10 to the original 18, we get </em>28 total marbles. <em>Now if we add 10 to 4 we get 14 blue marbles. </em>

<u><em>SUCCESS!!!</em></u>

<em>14/28 blue marbles is 1/2, therefore we must add 10 blue marbles.</em>

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