Independent and Dependent Events
9/49
A bag contains 3 red balls and 4 green balls. You randomly draw one ball, replace it, and randomly draw a second ball. Find the probability of drawing a red ball the first time and then drawing a red ball the second time.
2/21
A box contains 5 green marbles, 7 blue marbles and 3 orange marbles. Without looking, what is the probability that the first two picked will both be green?
5/18
A box contains 5 purple marbles, 3, green marbles, and 2 orange marbles. Two consecutive draws are made from the box without replacement of the first draw. What is the probability of drawing a purple marble and then drawing a marble that is not purple the second time?
2/9
A box contains 5 purple marbles, 3, green marbles, and 2 orange marbles. Two consecutive draws are made from the box without replacement of the first draw. What is the probability of drawing a purple marble both times?
1/15
A box contains 5 purple marbles, 3, green marbles, and 2 orange marbles. Two consecutive draws are made from the box without replacement of the first draw. What is the probability of drawing an orange marble and then a green marble?
1/30
A club has 25 members, 20 boys and 5 girls. Two members are selected at random to serve as president and vice president. Find the probability that both members will be girls.
1/35
A face-down deck of cards contains 3 hearts, 5 diamonds, 3 clubs and 4 spades. What is the probability that the first two cards drawn will both be hearts?
3/20
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
1/221
If you draw two cards from a standard deck of 52 cards without replacement, find: the probability of drawing 2 aces.
4/663
If you draw two cards from a standard deck of 52 cards without replacement, find: the probability of drawing a King first, Jack second.
4/221
If you draw two cards from a standard deck of 52 cards without replacement, find: the probability of drawing a face card first, ace second.
1/3
One marble is randomly drawn and not replaced from a jar containing two white marbles and one black marble. A second marble is drawn. Find the probability of drawing a white and then a black.
3/11
There are 5 black cats and 6 grey cats in a cage, and none of them want to be in there. The cage door opens briefly and two cats escape. What is the probability that both escaped cats are grey?
1/4
Two cards are selected from a deck of cards numbered 1 - 10. Once a card is selected, it is replaced. Find the probably of selecting an even number the first time and then an even number the second time.
1/360
Two seniors, one from each government class are randomly selected to travel to Washington, D.C. Wes is in a class of 18 students and Maureen is in a class of 20 students. Find the probability that both Wes and Maureen will be selected.
1/36
You write each of the letters of the word LISTED on pieces of paper and place them in a bag. You randomly draw one letter, do replace it, and then randomly draw a second letter. Find the probability of drawing an "L" and then a "T".
3/10
Your drawer contains 9 red socks and 7 green socks. It's too dark to see which are which. What is the probability that the first two you pick are both red socks?
