a) Here's the theoretical probability, it's the probability that comes up from calculations using known formulae of probability:
P(red from all three) = P(red from A)*P(red from B)*P(red from C)
P(A) = 3/8 (3 out of 8)
P(B) = 4/10
P(C) = 5/12
= (3/8)*(4/10)*(5/12)
= 1/16
b) Experimental Probability of pulling out a red marble:
For A: 2/5 (Two times out of 5)
For B: 4/5
For C: 3/5
Experimental Prob. of pulling out a red marble from all three: 2/5*4/5*3/5 = 24/125
Try comparing the theoretical and experimental probabilities of the boxes on your own, and you'll find the answer
Mrs. Dwayne has three boxes. The first box contains three red marbles and five blue marbles. The second box has four red marbles and six blue marbles. The third box has five red marbles and seven blue marbles. Mrs Dwayne pulls a marble from each box five times. but before her next turn, returns the marble to the box it came from. A red marble was pulled two time for box 1, four time from box 2, and three times for box 3.
Determine the theoretical and experimental probability of pulling a red marble from each box. For which box was the experimental probability closet to the theoretical probability? Explain your answer by providing proof and justification.
1 answer