(6) 11/36
(7) 1/216
5. Consider the probabilities in problem 4. The probability that a randomly selected single
book purchase will not be for a work of fiction is
(a) 0.80
(b) 0.25
(c) 0.20
(d) 0.30
(e) 0.75
6. Two dice are rolled. Suppose A is the event the sum of the numbers on the top faces is
even, and B is the event that one of the dice shows the number “1.” The probability of
event B is
(a) 1/2
(b) 18/36
(c) 12/36
(d) 11/36
(e) 1/3
3
7. A child is playing with three dice: red, green, and blue. The probability that she will roll a
5 on the red, a 4 on the green, and a 3 on the blue is:
(a) 1/2
(b) 1/36
(c) 1/216
(d) 4/36
(e) 1/3
5 answers
6. No, either-or probabilities are found by adding the individual probabilities.
P = P(1) + P(1) = ?
7. If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
P = P(1) + P(1) = ?
7. If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
Well, there are 11 possible combinations that one of two dices rolls 1.
i.e. (1,1) (1,2),....(2,1), (3,1)....
probability for single event P(1)= 1/36.
then Adding all 11 events is
P = P(1) + P(1) +P(1) +...... 11 times
= 1/36 + 1/36 + 1/36 +.....
=11/36.
additionally probability for event A is 18/36
i.e. (1,1) (1,2),....(2,1), (3,1)....
probability for single event P(1)= 1/36.
then Adding all 11 events is
P = P(1) + P(1) +P(1) +...... 11 times
= 1/36 + 1/36 + 1/36 +.....
=11/36.
additionally probability for event A is 18/36
Consider each die separately.
The P for die 1 to have a 1 = 1/6
The P for die 2 to have a 1 = 1/6
You want either one or the other of the dice to show a 1. Either-or probabilities are found by adding the individual probabilities.
The P for die 1 to have a 1 = 1/6
The P for die 2 to have a 1 = 1/6
You want either one or the other of the dice to show a 1. Either-or probabilities are found by adding the individual probabilities.
rolling two dice together, what is the probability of getting (6,6)?