What Is the Probability of Drawing Specific Ball Colors from a Bag?

In summary, the probability of drawing both red balls is 2/11 and the probability of drawing at least one green ball is 3/11.
  • #1
raindoe
1
0
Hi guys, I have a maths question about Probability, hope somebody can help me out, thank you very much.

There are 5 red, 4 blue and 3 green balls in a bag. Two balls are taken from the bag, one after the other. If the first ball is not replaced, and it was not green. What is the probability that:

a) both balls are red?
b) at least one ball is green?
 
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  • #2
raindoe said:
Hi guys, I have a maths question about Probability, hope somebody can help me out, thank you very much.

There are 5 red, 4 blue and 3 green balls in a bag. Two balls are taken from the bag, one after the other. If the first ball is not replaced, and it was not green. What is the probability that:

a) both balls are red?
b) at least one ball is green?
a) There are a total of 12 balls in the bag, 3 of them red. What is the probability the ball drawn is red? If the first ball is red there are 11 balls left, 2 of them red. What is the probability the second ball is also red? So what is the probability they are both red?

b) You are told that the first ball drawn is "not green". "At least one ball is green" requires that the second ball also be green. There are 11 balls left. What is the probability the second ball is "green"?
 
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FAQ: What Is the Probability of Drawing Specific Ball Colors from a Bag?

What is probability?

Probability is a measure of the likelihood of an event occurring. In the context of balls, it refers to the chances of selecting a specific ball from a group of balls.

How is probability calculated?

Probability is calculated by dividing the number of desired outcomes by the total number of possible outcomes. For example, if there are 5 red balls and 10 total balls, the probability of selecting a red ball would be 5/10 or 50%.

What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. Experimental probability, on the other hand, is based on actual results from conducting experiments or trials.

What is the probability of selecting multiple balls from a group?

The probability of selecting multiple balls from a group can be calculated by multiplying the individual probabilities of each selection. For example, if the probability of selecting a red ball is 50% and the probability of selecting a blue ball is 25%, the probability of selecting a red ball and then a blue ball would be 50% x 25% = 12.5%.

How does the number of balls in a group affect the probability?

The number of balls in a group can affect the probability in two ways. First, as the number of balls increases, the probability of selecting a specific ball decreases. Second, as the number of balls increases, the probability of selecting a certain number of balls also decreases. This is because there are more possible outcomes with a larger number of balls, making it less likely to select a specific combination of balls.

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