10-6 Probability of Independent and Dependent Events
Are the following events dependent or independent?
1)
A coin is flipped three times.
2)
A marble is selected from a bag, then
another marble is selected without the
first one being put back in the bag.
3)
A card is selected from the deck, placed
back in, the deck is shuffled, and another
card is drawn.
10-6 Probability of Independent and Dependent Events
4)
A bag contains 3 red, 5 yellow, and 2 green marbles. A marble
is selected at random, returned to the bag, and a second marble
is selected. Find the probability that both marbles are yellow:
10-6 Probability of Independent and Dependent Events
5)
A bag contains 3 red, 5 yellow, and 2 green marbles. A marble
is selected at random, thrown across the room, and a second marble
is selected. Find the probability that both marbles are yellow:
10-6 Probability of Independent and Dependent Events
Find the probability of each series of events occuring:
6)
Flipping a coin and having it come up tails, then rolling a six-sided die
and having it come up two or higher:
7)
Reaching into a box of 10 chocolates and 6 caramels, randomly picking
out a chocolate and eating it, reaching back into the box, and picking
out a caramel:
10-6 Probability of Independent and Dependent Events
8)
A group of 7 men and 5 women each sign their name on a piece of
paper. Find the probability of randomly drawing two names, and
having them both be men:
9)
The probability of the Browns beating the Bengals is 2/5. The
probability of the Cavaliers beating the Wizards is 7/8. Find the
probability that the Browns and Cavs will both win their games:
10-6 Probability of Independent and Dependent Events
Homework:
pp. 436-437 / 3-5, 8-13, 17-18