Respuesta :
Title:
The required probability is [tex]2.336\times 10^{-5} = 0.00002[/tex].
Step-by-step explanation:
In the urn, there are total (7 + 8 + 9) = 24 balls.
We are taking 10 balls out of the urn with replacement.
In each tern, we have overall 10 choices to chose 1 ball.
If we want to get a green, there are 7 choices each time.
Similarly, 8 choices each time for getting a red and 9 choices each time for getting a yellow ball.
The probability of getting green 2 times, red 3 times, and yellow 5 times is [tex]\frac{7^2 \times8^3\times9^5}{(24)^{10}} = 2.336 \times 10^{-5}[/tex].
Answer:
Probability = 0.0589
Step-by-step explanation:
The total number of balls in an urn is: 7 + 8 + 9 = 24 balls
The possible arrangements are: [tex]\frac{10!}{2!3!5!} = 2520[/tex]
Probability of getting a green ball = [tex]\frac{7}{24}[/tex].
Probability of getting a red ball = [tex]\frac{8}{24}[/tex].
Probability of getting a yellow ball = .
Therefore, the required probability is:
[tex]2520 \times (\frac{7}{24})^2 \times (\frac{8}{24})^3 \times (\frac{9}{24})^5\\ = 2520 \times 0.08507 \times 0.03704 \times 0.00742 \\= 0.0589[/tex]
