# Probability of Simple Events Objective: Students will be able to find the probability of a simple event. Students will be able to understand the distinction

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• Probability

of Simple

Events

• Probability of Simple EventsObjective:Students will be able to find the probability of a simple event.Students will be able to understand the distinction between simple events and compound events.

Essential Question:(1) How do I find the probability of a simple event?(2) How can I distinguish between a simple and compound event?

• Probability of Simple EventsVocabulary:Outcome one possible result of a probability.Sample Space the list of possible outcomes for a probability event.Random outcomes that occur at random if each outcome is equally likely to occur.Simple Event a specific outcome or type of outcome. Complementary Events the events of one outcome happening and that outcomes not happening are complimentary; the sum of the probabilities of complementary events is 1.

• Real World Example:Best Buy is having an IPOD giveaway. They put all the IPOD Shuffles in a bag. Customers may choose an IPOD without looking at the color. Inside the bag are 4 orange, 5 blue, 6 green, and 5 pink IPODS. If Maria chooses one IPOD at random, what is the probability she will choose an orange IPOD?

Probability of Simple Events

• Real World Example:Best Buy is having an IPOD giveaway. They put all the IPOD Shuffles in a bag. Customers may choose an IPOD without looking at the color. Inside the bag are 4 orange, 5 blue, 6 green, and 5 pink IPODS. If Maria chooses one IPOD at random, what is the probability she will choose an orange IPOD?

P(orange) = 4/20 = 2/10 = 1/5 or 20%Probability of Simple Events

• What is a PROBABILITY?

- Probability is the chance that some event will happen

- It is the ratio of the number of ways a certain event can occur to the number of possible outcomesProbability of Simple Events

• What is a PROBABILITY?

number of favorable outcomes number of possible outcomes

Examples that use Probability:(1) Dice, (2) Spinners, (3) Coins, (4) Deck of Cards, (5) Evens/Odds, (6) Alphabet, etc.Probability of Simple EventsP(event) =

• What is a PROBABILITY?

0% 25% 50% 75% 100%

0 or .25 0r .5 or .75 1

Impossible Not Very Equally Likely Somewhat Certain Likely LikelyProbability of Simple Events

• Example 1: Roll a dice.What is the probability of rolling a 4?

# favorable outcomes # possible outcomes

1 6

The probability of rolling a 4 is 1 out of 6Probability of Simple EventsP(event) = P(rolling a 4) =

• Example 2: Roll a dice.What is the probability of rolling an even number?

# favorable outcomes # possible outcomes

3 1 6 2

The probability of rolling an even number is 3 out of 6 or .5 or 50%Probability of Simple EventsP(event) = P(even #) = =

• Example 3: Spinners.What is the probability of spinning green?

# favorable outcomes # possible outcomes

1 1 4 4

The probability of spinning green is 1 out of 4 or .25 or 25%Probability of Simple EventsP(event) = P(green) = =

• Example 4: Flip a coin.What is the probability of flipping a tail?

# favorable outcomes # possible outcomes

1 1 2 2

The probability of spinning green is 1 out of 2 or .5 or 50%Probability of Simple EventsP(event) = P(tail) = =

• Example 5: Deck of Cards.What is the probability of picking a heart?

# favorable outcomes 13 1

# possible outcomes 52 4The probability of picking a heart is1 out of 4 or .25 or 25%What is the probability of picking a non heart?

# favorable outcomes 39 3

# possible outcomes 52 4The probability of picking a heart is3 out of 4 or .75 or 75%

Probability of Simple EventsP(heart) = = =P(nonheart) = = =

• Key Concepts:

- Probability is the chance that some event will happen

- It is the ratio of the number of ways a certain even can occur to the total number of possible outcomesProbability of Simple Events

• Guided Practice: Calculate the probability of each independent event.

1) P(black) = 2) P(1) = 3) P(odd) = 4) P(prime) = Probability of Simple Events

1) P(black) = 4/82) P(1) = 1/83) P(odd) = 1/24) P(prime) = 1/2Probability of Simple Events

• Independent Practice: Calculate the probability of each independent event.

1) P(red) = 2) P(2) = 3) P(not red) = 4) P(even) = Probability of Simple Events