Exploring Independent Events in Probability

The video tutorial covers the concept of independent events in probability, explaining that the outcome of one event does not affect another. It demonstrates how to calculate the probability of independent events by multiplying their individual probabilities. The tutorial includes several examples, such as drawing coins, flipping coins, spinning spinners, tossing a penny, and selecting prizes from a box, to illustrate the calculation of probabilities using fractions and simplification techniques.

What defines independent events in probability?

• Two or more events where the outcome of one does not affect the outcome of the other

• Events that can only occur together

• Events where the outcome of one affects the outcome of another

• Events with equal probabilities

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CCSS.HSS.CP.A.5

How do you calculate the probability of independent events occurring together?

• By subtracting the probabilities of each event

• By adding the probabilities of each event

• By dividing the probability of one event by the other

• By multiplying the probability of each event

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

How do you simplify the fraction when calculating probabilities of independent events?

• By cross simplifying if possible

• By multiplying the denominators

• By subtracting one fraction from the other

• By adding the numerators

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CCSS.HSS.CP.B.7

What is the first step in determining the probability of independent events?

• Add the probabilities of each event

• Multiply the probabilities directly

• Identify the total number of outcomes

• Calculate the probability of each event separately

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

What is the probability of drawing a striped coin and then a checkered coin?

• 1/16

• 1/32

• 1/8

• 2/32

What is the simplified probability of drawing a checkered coin and a zigzag coin?

• 1/16

• 2/16

• 1/8

• 1/32

What is the probability of flipping a coin and getting heads three times in a row?

• 1/8

• 1/6

• 1/2

• 1/4

What is the probability of landing on a yellow section and then an even number with two spinners?

• 1/16

• 1/8

• 1/2

• 1/4

If a penny is tossed and a die is rolled, what is the probability of getting tails and then a five?

• 1/12

• 1/6

• 1/24

• 1/8

In a prize box with sunglasses, stickers, and pencils, what is the probability of selecting a sticker and then sunglasses?

• 3/25

• 2/25

• 4/25

• 1/25