Probability Number Line 0 1 Events that are impossible have a probability of 0. Rolling a 7 with a 6-sided dice. Rolling a 7 with a 6-sided dice has a.

Probability Number Line

0 1

Events that are impossible have a probability of 0.

Rolling a 7 with a 6-sided dice.

Rolling a 7 with a 6-sided dice has a probability of 0 because it cannot happen.

Probability Number Line

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Events that are certain have a probability of 1.

The probability of you getting wet in this scenario is 1.It is certain to happen.

Getting wet if you walk out in a downpour with no umbrella.

Probability Number Line

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An event whose probability is closer to 0 is less likely to occur.

An event whose probability is closer to 1

is more likely to occur.

Probability Number Line

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The “red” event falls on the number line here.

The “green” event falls on the number line here.

What can we say about the probability of these two events?

Probability Number Line

0 1

The “red” event falls on the number line here.

The “green” event falls on the number line here.

What can we say about the probability of these two events?

What is the probability of…

0 1

Having a coin land on heads.

The coin is just as likely to land on heads as it is to land on tails. Events that have the same likelihood of happening fall right in the middle of 0 & 1.

What “number” falls in the middle of 0 & 1?

½

So, the probability of a coin landing on heads is ½.

Probability Number Line

Since we use a number line to express the probability of events occurring, we can assign number values to our probabilities.

0 1½

These number values can take the form of fractions.

Coin Toss

The fraction gives us information about the event.

0 1½We determined that the probability of a coin landing on heads is ½, so it would fall on the number line exactly halfway between 0 & 1.

½The numerator gives us the total number of the desired outcomes.

The denominator gives us the total number of all possible outcomes.

Writing Probabilities as Fractions

So, let’s come up with the probability for the following:

What would be the fraction you would write to show the probability of picking…

Writing Probabilities as Fractions

So, let’s come up with the probability for the following:

What would be the fraction you would write to show the probability of picking…

Writing Probabilities as Fractions

So, let’s come up with the probability for the following:

What would be the fraction you would write to show the probability of picking…

Writing Probabilities as Fractions

We can plot our probabilities on the number line too.

Probability of picking…

a yellow letter?

a black letter?

a consonant?

0 1½

Writing Probabilities as Fractions

We can plot our probabilities on the number line too.

Probability of picking…

king?

a black card?

a diamond?

0 1½