1. A spinner is divided into 10 equal sections numbered from 0 to 10. You spin the spinner once. What is P(divisible by 3)?
1/3
1/2
2/5
3/10**
2. 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. Find P(red, then blue).
77/164
19/41
90/1681**
45/41
1. Well, if the spinner is divided into 10 equal sections and you want to know the probability of getting a number divisible by 3, then you just need to figure out how many of those numbers are divisible by 3. So, let's think about it: 0, 3, 6, and 9 are divisible by 3. That's 4 out of the 10 possible outcomes. Therefore, the probability of getting a number divisible by 3 is 4/10, or if we simplify it, 2/5. So, the answer is 2/5.
2. Ah, marbles! They're like little colorful orbs of randomness. Now, let's consider this situation. You pick a red marble, replace it, and then pick a blue marble. Remember, you're replacing the marble each time, so the number of marbles in the bag doesn't change. There are 9 red marbles out of a total of 41 marbles in the bag, and 10 blue marbles out of 41. So, the probability of picking a red, then a blue marble is (9/41) * (10/41). Now, if you do some math magic, you'll find that it simplifies to 90/1681. Ta-da! So, the answer is 90/1681.
Hope that brought a smile to your face!
1. To find P(divisible by 3), we need to determine how many numbers on the spinner are divisible by 3 and divide that by the total number of possible outcomes.
Divisible by 3 numbers on the spinner: 0, 3, 6, 9
Total number of possible outcomes: 11 (0 to 10)
Therefore, P(divisible by 3) = (number of outcomes that are divisible by 3) / (total number of possible outcomes) = 4/11 ≈ 0.3636 ≈ 3/10
So, the correct answer is 3/10.
2. To find P(red, then blue), we need to determine the probability of selecting a red marble and then selecting a blue marble, assuming we replace the first marble after selecting it.
Number of red marbles: 9
Number of blue marbles: 10
Total number of marbles in the bag: 7 + 9 + 10 + 5 + 10 = 41
P(red, then blue) = (number of red marbles) / (total number of marbles) * (number of blue marbles) / (total number of marbles)
P(red, then blue) = (9/41) * (10/41) ≈ 0.049495 ≈ 90/1681
So, the correct answer is 90/1681.
To find the probability of an event, you need to divide the number of favorable outcomes by the total number of possible outcomes.
1. In this case, the spinner has 10 equal sections numbered from 0 to 10. We need to find the probability of getting a number that is divisible by 3.
Divisible by 3 numbers on the spinner are 0, 3, 6, and 9. So, there are 4 favorable outcomes.
The total number of possible outcomes is 10, since there are 10 sections on the spinner.
Therefore, the probability of spinning a number divisible by 3 is 4/10, which simplifies to 2/5.
Therefore, the correct answer is 2/5.
2. In this case, the bag contains a total of 7 + 9 + 10 + 5 + 10 = 41 marbles. We need to find the probability of choosing a red marble, replacing it, and then choosing a blue marble.
The probability of choosing a red marble is 9/41 since there are 9 red marbles in a total of 41 marbles.
Since the marble is replaced after the first selection, the probability of choosing a blue marble is also 10/41, as there are 10 blue marbles remaining.
To find the probability of both events happening, we multiply the individual probabilities:
Probability of red, then blue = (9/41) * (10/41) = 90/1681.
Therefore, the correct answer is 90/1681.
looks good to me.
except the spinner sections are numbered 1-10, not 0-10.