SOLUTION: jennifer has 8 blue marbles, 12 orange marbles, & 10 red marbles What is the probability of picking an orange marble. Predict the number of times out of 120 Jennifer will pick an

Algebra ->  Probability-and-statistics -> SOLUTION: jennifer has 8 blue marbles, 12 orange marbles, & 10 red marbles What is the probability of picking an orange marble. Predict the number of times out of 120 Jennifer will pick an      Log On


   

Question 135710: jennifer has 8 blue marbles, 12 orange marbles, & 10 red marbles
What is the probability of picking an orange marble.
Predict the number of times out of 120 Jennifer will pick an orange marble.
Please help to explain so we can show the work.
Found 2 solutions by vleith, solver91311:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
How many marbles are the in total? 8+%2B+12+%2B+10 = 30
How many are orange? 12
So what are the odds of picking an orange marble?? 12 out of 30 = 12%2F30 = .4
If Jen use this same set of marbles over and over again, picking one out, checking the colr and then putting it back. Each time she picked a marble, the odds are 4/10 that it would be an orange one.
Use a ratio
4%2F10+=+x+%2F120
%284%2A120%29%2F10+=+x+
+48+=+x+
Check your answer. is 48 = 120*0.4?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
There are 8 + 12 + 10 = 30 total marbles, 12 of which are orange. So there are 12 ways that you can pick an orange marble out of 30 possible ways to pick a marble. The probability is therefore 12%2F30. Probability is always the number of successful outcomes divided by the total number of possible outcomes.

So, for x number of trials, you would expect %2812%2F30%29x trials to result in an orange marble. For 120 trials, %2812%2F30%29120. All you need now is to do the arithmetic.