Please help! I am confused about this question and can not seem to get the answer. Thanks!
1) You choose a marble at random from a bag containing eight brown marbles, seven yellow marbles, and one purple marble. You replace the marble and then choose again. Find P(brown then purple).
A) 1/32
B) 9/16
C) 2/32
D) 1/2
I count 16 marbles..
Pr(brown, purple w replacement)=8/16*1/16)
pr = 1/32
The answers to the Probability of Compound Events Quiz are:
1. 210
2. 6
3. 27,907,200
4. 3/4
5. 1/4
6. 5/8
7. 4/25
8. 1/32
100% just took the quiz :)
Thank you so much! At first I had that answer, but then I was told that was not correct. Thank you for clearing it up.
To find the probability of drawing a brown marble followed by a purple marble, you need to understand the concept of probability and how it relates to this situation.
Probability is a measure of the likelihood of an event occurring. It is calculated by dividing the number of successful outcomes by the total number of possible outcomes.
In this case, you are drawing marbles from a bag, replacing them each time. This means that the number of marbles in the bag remains constant throughout the process.
Let's break down the problem step by step:
Step 1: Determine the number of brown marbles.
There are a total of eight brown marbles in the bag.
Step 2: Determine the number of purple marbles.
There is one purple marble in the bag.
Step 3: Determine the total number of marbles.
The bag contains a total of eight brown marbles, seven yellow marbles, and one purple marble. So, the total number of marbles is 8 + 7 + 1 = 16.
Step 4: Calculate the probability of drawing a brown marble.
Since you replace the marble after drawing, the probability of drawing a brown marble on the first draw is 8/16, or simplified, 1/2.
Step 5: Calculate the probability of drawing a purple marble.
Again, since you replace the marble after drawing, the probability of drawing a purple marble on the second draw is 1/16.
Step 6: Calculate the probability of drawing a brown marble followed by a purple marble.
To find the probability of both events happening together, you multiply their individual probabilities. So, P(brown then purple) = (1/2) * (1/16) = 1/32.
Therefore, the correct answer is A) 1/32, as the probability of drawing a brown marble followed by a purple marble is 1/32.