Name ______Date ______Period ______

Accelerated Algebra 1

Probability

Probability is ______

______

  • It is always a number between ______and ______.
  • It is stated as a ______

A Probability of Zero ______

______

Example: On a regular number cube (die), the probability of rolling a 9:

A Probability of One ______

______

Example: On a regular number cube (die), the probability of rolling a positive number:

If the event doesn’t occur every time, or none of the time, then we use this formula to determine the probability:

Examples:

  1. On a regular number cube (die), find the probability of rolling a 2. ______
  2. On a regular number cube (die), find the probability of rolling an even number. ______
  3. On a regular number cube (die), find the probability of rolling an odd number. ______
  4. On a regular number cube (die), find the probability of rolling a 1. ______

Sample Space: ______

Examples:

List the sample space for each of the following:

  1. When you toss a coin two times. ______
  2. Choosing a month with 30 days. ______

Give the number of outcomes in each sample space.

  1. 12 Kit Kats, 6 Snickers, 2 Sweet Tarts, 10 Jolly Ranchers ______
  2. The set of vowels in the phrase “Practice makes perfect.” ______

Theoretical Probability: ______

______

Experimental Probability: ______

______

Find the probability of each scenario. State whether it is an example of theoretical or experimental probability.

  1. In a regular deck of cards, what is probability that Zach draws a King? ______.

Type: ______

  1. Jules drew a 7, K, Q, 6, 3 and K from a deck of cards. What is the probability that she drew a number card? ______

Type: ______

  1. Matt rolled a 4, 6, 2, 1, 2, 5, and a 3 on a regular number die. What is the probability that he rolled a 2? ______

Type: ______

  1. From a bucket of sponges, Jake took out a red, yellow, blue, red, orange, white, and orange sponge. What is the probability he is holding a red sponge? ______

Type: ______

  1. Jackie rolls a regular number die. What is the probability that she rolls a number greater than 4? ______

Type: ______

  1. Olivia draws a card from a regular deck of cards, What is the probability that she draws a black card? ______

Type: ______

Probability of Multiple Events

  • ______
  • ______

Examples:

Find the probability of each group of events when rolling a die.

  1. P(1, 2, 3) ______16. P(even, even, odd)______
  1. P(1, 1, less than 3) ______18. P(4, 4, 4) ______
  1. P(9, 2, greater than 4) ______20. P(positive number, 5, 6) ______

Independent Events: ______

______

Examples:

  1. A family has 2 sons. What is the probability of having another boy if they have a third child?

______

  1. Maya flips a coin once and it lands on heads. What is the probability of it landing on tails next?

______

Dependent Events: ______

______

*Assume each event ______!

Examples: A box contains cards with letters {A, B, C, D, E}. A card is pulled, but not

returned. Find the probability of each group of events.

23. P(A,B) ______24. P(vowel, vowel)______

25. P(vowel, vowel, vowel)______26. P(consonant, consonant)______