Problema Solution
A box contains 5 chips. The chips are numbered 1 through 5.
Otherwise, the chips are identical. From this box, we draw one chip at random, and record its value. We then put the chip back in the box. We repeat this process two more times, making three draws in all from this box.
How many elements are in the sample space of this experiment?
What is the probability that the three numbers drawn are all different?
What is the probability that the three numbers drawn are all odd numbers?
Answer provided by our tutors
1.) Ans: 5^3
2.) P(all three ARE the same)= 5(1/5)^3 = 1/25
P(all are NOT are same) = 24/25
3.)
1st draw: any number
2nd draw: 1 of 4 numbers
3rd draw: 1 of 3 numbers
P(all are different): 1*(1/4)(1/3) = 1/12
P(all three ARE the same)= 5(1/5)^3 = 1/25
P(all are NOT eht same) = 24/25