Question

Amber rolls a 6-sided die. On her first roll, she gets a "4". She rolls again.(a) What is the probability that the second roll is also a "4".P(4 | 4) =(b) What is the probability that the second roll is a "1".P(1l4)

Answer 1

The probability of getting a 4 again means is given by the product of the probabilities to obtain 4 twice (because in this case we have independent events)

(a) P(4I4) = P(4)*P(4) = (1/6)(1/6) = 1/36

(b) P(1l4) = P(1)*P(4) = (1/6)(1/6) = 1/36

In the previous calculations we have considered that the probability for getting any number is the same and it is 1/6.