Please show all work ……..
1.) A 6-faced die is rolled two times. Let A be the event that the outcome of the first roll is greater than 4. Let B be the event that the outcome of second roll is an odd number.
A. What is the probability that the outcome of the second roll is an odd number, given that the first roll is greater than 4?
B. Are A and B independent? Why or why not?
A box contains 10 chips. The chips are numbered 1 through 10. Otherwise, the chips are identical. From this box, we draw one chip at random, and record its value. We then put the chip backk in the box. We repeat this process two more times, making three draws in all from this box.
A. How many elements are in the sample space of this experiment?
B. What is the probability that the three numbers drawn are all multiples of 3?