Probability Quiz Review

Probability Quiz Review

Independent/Dependent/Mutually Exclusive

Independent Probability

• Multiple events WITH REPLACEMENT

• Example: Probability of selecting a blue marble, PUTTING IT BACK, then probability of selecting a red marble

• MULTIPLY the fractions and reduce

• You try the independent probability practice questions on the next two slides

Mixed Practice

• The next set of practice problems are a MIX of independent, dependent, mutually exclusive, and non-mutually exclusing probability

• Read the question and identify the type of probability

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Multiple Choice

A bag contains 8 blue marbles, 7 green marbles, and 5 yellow marbles. Suppose you drew one marble from the bag above, replaced it and then drew a second marble. What is the probability of drawing a green, and then a blue marble. P(green, blue)

• 4/5

• 43/400

• 15/20

• 7/50

Multiple Choice

There are 14 tiles with one letter from the word MATHEMATICIANS on each. You are now going to choose a letter, put it back and then choose another letter. Find the probability of choosing a vowel, and then NOT the letter T.

• 18/196

• 36/196

• 18/49

• 8/14

Dependent Probability

• Multiple events WITHOUT REPLACEMENT

• Example: Probability of selecting a face card from a deck, NOT PUTTING IT BACK, then probability of selecting an 8 from the same deck

• When finding the probability of the 2nd event, SUBTRACT what was removed during the first event

• MULTIPLY the fractions and reduce

• You try the dependent probability practice problems on the next two slides

Multiple Choice

Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts.  She puts the candy in the bowl.  If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a pink and then a yellow?

• 1/35
• 7/210
• 6/225
• 2/75

Multiple Choice

What is the probability of picking a red marble and keeping it, picking another red marble and keeping it, then picking a blue marble? (leave answer in fraction form in lowest terms)

• 2/105

• 4/343

• 2/63

• 4/210

Mutually Exclusive Events

• The probability of one thing OR a second with NO OVERLAP (can't occur at the same time)

• Example: Probability of selecting a queen or a 5 from a deck of cards

• No "overlap" because there are no queens that are also 5's

• Find the probability of each and ADD the fractions

• Now try the practice problems on the next two slides

Multiple Choice

Danny has 20 chocolates. 5 are milk chocolates, 10 are dark chocolates, and 5 are white chocolates. What is the probability of getting a milk chocolate or a dark chocolate?

• 3/4

• 1/2

• 1/15

• 3/10

Multiple Choice

If you roll one die, what is the probability of getting an odd number or a 4?

• 2/3
• 1/3
• 1/2
• 1/6

Non-Mutually Exclusive Events

• The probability of one thing OR a second with OVERLAP

• Example: Probability of selecting a queen or a spade from a deck of cards

• "Overlap" because there is a queen that is also a spade

• Find the probability of each and ADD the fractions, then SUBTRACT the the fraction that represents the overlap

• Now try the practice problems on the next two slides

Multiple Choice

Which of the following shows how to determine P(shaded number or number less than five)?

• 4/8 + 4/8 - 2/8
• 4/9 + 2/8 - 4/8
• 4/8 + 6/8 + 2/8
• 2/8 + 4/8 - 4/8

Multiple Choice

In a standard deck of 52 cards there are 13 diamonds and 13 hearts (red) and 13 spades and 13 clubs (black).  Find the probability of choosing a card at random that is a spade OR a 7

• 1/52
• 1/13
• 4/13
• 17/52

MIXED PRACTICE

The next set of practice problems are a mix of independent, dependent, mutually exclusive, and non-mutually exclusive. Read the problem carefully to decide which type before solving.

Multiple Choice

Find the probability of choosing a student at random that plays an instrument OR a sport.

• 1/2
• 13/20
• 21/20
• 4/5

Multiple Choice

If you spin two times, what is the probability of landing on green both times? (leave answer in fraction form in lowest terms)

• 1/6

• 1/9

• 1/36

• 1/30

Multiple Choice

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green or red marble?

• 8/15
• 6/11
• 3/4
• 2/3

Multiple Choice

What is the probability that a student is a female or left-handed?

• 53/121

• 58/121

• 7/53

• 12/121

Multiple Choice

You roll a 6-sided number cube. What is the probability of rolling an even number three times in a row? (leave answer in fraction form in lowest terms)

• 3/100

• 1/8

• 1/6

• 1/2

Multiple Choice

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

• 2/52
• 4/52
• 16/52
• 26/52

Multiple Choice

A cookie jar has 3 DOZEN chocolate chip, 1 DOZEN peanut butter, and 2 DOZEN oatmeal cookies. If Megan chooses a cookie, does not replace it, then chooses another, what is the probability that she chooses a peanut butter then a chocolate chip cookie? (leave answer in fraction form in lowest terms) (also, sorry for making you hungry!)

• 2/3

• 1/10

• 11/72

• 6/71

Multiple Choice

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble? (leave answer in fraction form in lowest terms)

• 9/49

• 16/49

• 12/42

• 12/49

Multiple Choice

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

• 13/52
• 26/52
• 39/52
• Not possible

Multiple Choice

Sarah has two spinners. Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time. What is the probability that both spinners will land on a color that is not red? (leave answer in fraction form in lowest terms)

• 1/6

• 4/7

• 1/3

• 2/6