Probability

A coin is tossed ten times.  What is the probability that there are exactly 6 heads?

• 20.51%
• 90%
• 45.68%
• 34.65%

The sum of the probabilities of all values of the random variable must be equal to _______?

• 0
• 1
• 2
• 3

A company has 500 employees, and 60% of them have children. Suppose that we randomly select 4 of these employees.

Which of the following would find the probability that exactly 3 of the 4 employees selected have children?

• (0.60)³(0.40)

• (0.60)(0.40)³

• ⁴C₃(0.60)³(0.40)

• ⁴C₃(0.60)(0.40)³

• ⁵⁰⁰C₃(0.60)³(0.40)

A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent. 

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.8

Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent. 

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Two cards are chosen at random from a standard deck of 52 cards without replacement. What is the probability of choosing two kings? 

• 1/26 = 3.85%
• 1/69 = 1.45%
• 1/221 = 0.45%
• 4/663 = 0.60%

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100
• 1/2
• 1/6
• 1/8

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 

• 27/40
• 1.48
• .008
• .0593

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

The probability that a women likes the color blue is 10%. The probability of being a women is 40%. What is the probability that the a women is chose given they liked the color blue? 

• 4
• .4
• .1
• .25

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

To find the probability of at least one, calculate

• 1 - P(E)

• 1 - P(none)

• P(E) + P(not E)

• 1 + P(E)