Topic 8: Probability

which the following is addition rules?

• $P\left(A\cup B\right)$

• P(A|B)

• $P\left(A\cap B\right)=P\left(A\right)\times P\left(B\right)$

 $P\left(A'\cap B'\right)=?$  

•  $P\left(A\cap B\right)'$  

•  $P\left(A\cup B\right)$  

•  $P\left(A\cup B\right)'$  

•  $P\left(A'\cup B'\right)$  

Determine if the events are mutually exclusive or overlapping: Rolling a 6 or an odd number

• Mutually exclusive

• not mutually exclusive

Victor picks a card at random from a standard deck. Without putting the first card back, he picks a second card at random. This example is ___________________.

• Dependent

• Independent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

If event A and event B are independent, then which of the following is true?

• P(A) = P(B)

• P(A | B) = P(B)

• P(A | B) = P(A)

• P(A and B) = P(A) + P(B)

What is the probability that the person picked will be a boy given they speak German?

• 8/11

• 2/5

• 4/25

• 3/11

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes
• No

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

Is the event INDEPENDENT or DEPENDENT?
Amy plays card games.  She picks a card at random.  Then without putting the first card back, he picks a second card at random.

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

CCSS.HSS.CP.B.8

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange,green)

• 1/15
• 2/15
• 3/31
• 1/5

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8