Probability Rules

Two events A and B are __________________ if they have no outcomes in common and so can never occur together.

Tags

CCSS.HSS.CP.B.7

You flip a nickel three times.

Find the probability that all flips will land on tails.

P(tails, tails, tails)=

• 1/2

• 1/4

• 1/6

• 1/8

Tags

CCSS.HSS.CP.B.8

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.ID.A.1

CCSS.HSS.MD.A.1

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. 
What is P(purple then black)?

• 1/18
• 2/5
• 3/7
• 4/9

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

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

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

On December 17, 2020, Gallup polling found that 31% of Americans identified as Democrats, 25% identified as Republican, and 41% as Independent. The rest of those polled did not identify with a political party.

What percent did not identify with a political party?

• a) 3%

• b) 4%

• c) 7%

• d) 6%

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

You pick a marble from this bag.

What is the probability you will choose either a black or white marble?

P(black or white)=

• 3/5

• 9/100

• 1/10

• 2/5

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

Dice have six faces, showing 1 to 6 pips (spots). If a die is balanced, all six faces are equally likely. What must be the probability of each face?

• 1/10, or 0.10.
• 1/6, or 0.167.
• 2/10, or 0.20.
• could be any number between 0 and 1.

The outcomes for rolling two number cubes numbered 1 through 6 are shown above. What is the probability the sum of the number cubes will be 7 or 4?

• $\frac{1}{12}$

• $\frac{1}{6}$

• $\frac{1}{4}$

• $\frac{11}{36}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

Which Rule Should you use for the following scenario:

Event A has a 9/10 chance of occurring. Event B may also occur. TO find the probability of Event A and Event B happening, what rule should I use?

• Multiplication Rule

• Complement Rule

• Addition Rule for ME events

• Addition Rule for Non-ME events

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8