Probability Number Line 1 Events that are impossible have a probability of 0. Rolling a 7 with a 6-sided dice. IMPOSSIBLE Rolling a 7 with a 6-sided dice has a probability of 0 because it cannot happen.

Probability Number Line 1 Events that are certain have a probability of 1. Getting wet if you walk out in a downpour with no umbrella. CERTAIN The probability of you getting wet in this scenario is 1. It is certain to happen.

Probability Number Line 1 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 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?

Probability Number Line 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… 1 ½ Having a coin land on heads. What “number” falls in the middle of 0 & 1? So, the probability of a coin landing on heads is ½. 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.

Probability Number Line 1 ½ Since we use a number line to express the probability of events occurring, we can assign number values to our probabilities. These number values can take the form of fractions.

Coin Toss 1 ½ We 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. The numerator gives us the total number of the desired outcomes. ½ The fraction gives us information about the event. 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: B What would be the fraction you would write to show the probability of picking… A D C Use this slide to do several examples of writing probability as a fraction.

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… Use this slide to do several examples of writing probability as a fraction.

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… Use this slide to do several examples of writing probability as a fraction.

Writing Probabilities as Fractions 1 ½ We can plot our probabilities on the number line too. B Probability of picking… a yellow letter? a black letter? a consonant? A Use the pen tool to plot some of the previous probabilities. D C

Writing Probabilities as Fractions 1 ½ We can plot our probabilities on the number line too. Probability of picking… king? a black card? a diamond? Use the pen tool to plot some of the previous probabilities.