a bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. you choose a marble, replace it, and choose again. what is P(read, then blue)?
A. 77/164
B. 19/41
C. 90/1681
D. 45/41••
p red = 9/41
replace so independent
p blue = 10/41
9/41 * 10/41 = 90/1681
by the way 45/41 is bigger than one which is a very improbable probability.
Lady Unsane is wronggg don't trust her
Knock knock.
Who's there?
Marble.
Marble who?
Marble-y enough, let's calculate the probability!
To find the probability of drawing a marble and then drawing a blue one, we need to consider the probability of the first draw and the probability of the second draw.
The probability of drawing any marble on the first draw is 41 out of the total number of marbles (7 + 9 + 10 + 5 + 10 = 41). So the probability of drawing a marble on the first draw is 41/41, which simplifies to 1/1.
Since we are replacing the marble back into the bag before drawing the second time, the probability of drawing a blue marble on the second draw is 10 out of the total number of marbles (7 + 9 + 10 + 5 + 10 = 41). So the probability of drawing a blue marble on the second draw is 10/41.
To find the probability of both events happening (drawing a marble on the first draw and then drawing a blue marble on the second draw), we multiply their individual probabilities:
1/1 * 10/41 = 10/41
So the correct answer is option D, 10/41.
To find the probability of choosing a red marble and then a blue marble, we need to first find the probability of choosing a red marble and then the probability of choosing a blue marble.
The probability of choosing a red marble is calculated by dividing the number of red marbles (9) by the total number of marbles in the bag (41). So, the probability of choosing a red marble is 9/41.
Since we are replacing the marble after each pick, the probability of choosing a blue marble is the same as the probability of choosing a red marble, which is also 9/41.
To find the probability of both events happening (choosing a red marble and then choosing a blue marble), we multiply the probabilities. So, the probability of choosing a red marble and then a blue marble is (9/41) * (9/41) = 81/1681.
Therefore, the correct answer is C. 90/1681.
1. A
2. C
3. B
4. B
5. C
6. B
7. B
8. C
9. D
10. B
11. C
12. C
13. D
14. A
15. A
16. C
17. A
18. C
i got 12/18 searching the answers one by one.
these should get you 100%