Two or more simple events
What is compound event?
A coin is tossed, and a number cube is rolled. P(heads and 1)
what is 1/12
Ms. Fountaine needs two students to help her with a demonstration for her class of 12 girls and 14 boys. She randomly chooses one student, then another student. P(two girls)
what is 66/325
A number cube is rolled and a spinner labeled A-D is spun. P(4 and B)
1/6 x 1/4
what is 1/24
A bag of marbles contains 6 white, 2 green, 1 red, and 3 blue. Once selected, a marble is not replaced. P(green, blue)
2/12 x 3/11 = 6/132 ...simplify!
what is 1/22
if the outcome of one event does not affect the outcome of a second event
what is independent event
Four coins are tossed. P(heads)
what is 1/16
A bag contains 6 green marbles, 2 blue marbles, and 3 white marbles. Kevin draws one marble from the bag and replaces it. Elliot then draws one marble from the bag. P(blue and white)
what is 6/121
A number cube is rolled and a spinner labeled A-D is spun. P(multiple of 2 and C)
what is 1/8
A bag of marbles contains 6 white, 2 green, 1 red, and 3 blue. Once selected, a marble is not replaced. P(red, white, blue)
1/12 x 6/11 x 3/10
what is 3/220
If the outcome of one event does affect the outcome of a second event
what is dependent event
A card is chosen at random from a deck of 52 cards. P(jack OR 8)
4/52 + 4/52 = 8/52
what is 2/13
In a shipment of 50 light bulbs, 7 are defective. Two light bulbs are randomly selected and tested. P(both defective)
what is 3/175
A number cube is rolled and a spinner labeled A-D is spun. P(not 5 and not D)
what is 5/8
The digits 0-9 are each written on a slip of paper and placed in a hat. Two slips of paper are randomly selected, without replacing the first. P(0 and 7)
1/10 x 1/9 = 1/90
what is 1/90
The operation to find the probability of two independent events
multiplication
A jar holds 15 red pencils, 5 white pencils, and 10 blue pencils. One pencil is chosen. P (red or blue)
15/30 + 10/30 = 25/30 simplify
what is 5/6
80% of all drivers wear seat belts. If three drivers are pulled over, the probability that all would be wearing seat belts. Write as a percent to the nearest tenth.
what 51.2%
A set of 7 cards is labeled 1-7. A second set of 12 cards contains the following colors: 3 green, 6 red, 2 blue, and 1 white. One card from each set is selected. P(6 and green)
what is 1/28
Miles randomly selects two pieces of fruit from a basket containing 8 oranges and 4 apples without replacing the first fruit. P(two oranges)
8/12 x 7/11
what is 14/33
"Without replacement" refers to
dependent event
A CD rack has 8 classical CDs, 5 pop CDs, and 3 rock CDs. One CD is chosen. P (rock OR classical)
3/16 + 8/16 = 11/16
what is 11/16
A nationwide survey showed that 65% of all children in the US prefer chocolate ice cream. If three children are chosen at random, the probability that all three prefer chocolate ice cream. Write as a percent to the nearest tenth.
27.5%
A coin is tossed, a number cube is rolled, and a letter is picked from the word PENCIL. P(not tails, multiple of 3, L)
what is 1/36
The names of 24 students, of which 14 are boys and 10 are girls, in Mr. Civita's science class are written on cards and placed in a jar. Mr. Civita randomly selects two cards without replacing the first to determine which students will present their lab reports today. P(two girls)
10/24 x 9/23
what is 15/92