Probabilities

You need your Ipad and notebook

1 / 24

Slide 1: Slide

WiskundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 24 slides, with interactive quizzes and text slides.

Items in this lesson

Probabilities

You need your Ipad and notebook

Slide 1 - Slide

\frac{​ 1 ​ ​}{​ 3 ​} \cdot \frac{​ 7 ​ ​}{​ 1 2 ​} =

\frac{​ 1 1 ​ ​}{​ 1 2 ​}

\frac{​ 8 ​ ​}{​ 1 5 ​}

\frac{​ 7 ​ ​}{​ 3 6 ​}

\frac{​ 1 1 ​ ​}{​ 1 4 4 ​}

Slide 2 - Quiz

What percentage corresponds to the fraction?

\frac{​ 1 ​ ​}{​ 5 ​}

20%

25%

Slide 3 - Quiz

What fraction corresponds to a probability of 0,4?

\frac{​ 2 ​ ​}{​ 5 ​}

\frac{​ 4 ​ ​}{​ 1 0 ​}

\frac{​ 1 ​ ​}{​ 4 0 ​}

\frac{​ 4 ​ ​}{​ 1 0 0 ​}

Slide 4 - Quiz

Today

Start (5 min)
New subject (15 min)
Bettermarks (20 min)
Exercise together (10 min)
Bettermarks (25 min)
End lesson (5 min)

Slide 5 - Slide

Note 14.2 Probabilities

The probability you roll 2 with a dice =

Notation: P(2) =

\frac{​ 1 ​ ​}{​ 6 ​}

\frac{​ 1 ​ ​}{​ 6 ​}

timer

2:00

Slide 6 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

Slide 7 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

Slide 8 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

Slide 9 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

Slide 10 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

Slide 11 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

Slide 12 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

Slide 13 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

P (G, G) = \frac{​ 3 ​ ​}{​ 1 0 ​} \cdot \frac{​ 3 ​ ​}{​ 1 0 ​} = \frac{​ 9 ​ ​}{​ 1 0 0 ​}

Slide 14 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

P (G, G) = \frac{​ 3 ​ ​}{​ 1 0 ​} \cdot \frac{​ 3 ​ ​}{​ 1 0 ​} = \frac{​ 9 ​ ​}{​ 1 0 0 ​}

P (G, P) = \frac{​ 3 ​ ​}{​ 1 0 ​} \cdot \frac{​ 7 ​ ​}{​ 1 0 ​} = \frac{​ 2 1 ​ ​}{​ 1 0 0 ​}

Slide 15 - Slide

Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

P (G, G) = \frac{​ 3 ​ ​}{​ 1 0 ​} \cdot \frac{​ 3 ​ ​}{​ 1 0 ​} = \frac{​ 9 ​ ​}{​ 1 0 0 ​}

P (G, P) = \frac{​ 3 ​ ​}{​ 1 0 ​} \cdot \frac{​ 7 ​ ​}{​ 1 0 ​} = \frac{​ 2 1 ​ ​}{​ 1 0 0 ​}

P (P, G) = \frac{​ 7 ​ ​}{​ 1 0 ​} \cdot \frac{​ 3 ​ ​}{​ 1 0 ​} = \frac{​ 2 1 ​ ​}{​ 1 0 0 ​}

P (P, P) = \frac{​ 7 ​ ​}{​ 1 0 ​} \cdot \frac{​ 7 ​ ​}{​ 1 0 ​} = \frac{​ 4 9 ​ ​}{​ 1 0 0 ​}

Slide 16 - Slide

Note 14.2: Probability trees

A basket contains 7 purple marbles and 3 yellow ones. Micha picks one marble from the basket and puts it back afterwards. Calculate the probability of picking two marbles of the same colour.

P (G, G) = \frac{​ 3 ​ ​}{​ 1 0 ​} \cdot \frac{​ 3 ​ ​}{​ 1 0 ​} = \frac{​ 9 ​ ​}{​ 1 0 0 ​}

P (G, P) = \frac{​ 3 ​ ​}{​ 1 0 ​} \cdot \frac{​ 7 ​ ​}{​ 1 0 ​} = \frac{​ 2 1 ​ ​}{​ 1 0 0 ​}

P (P, G) = \frac{​ 7 ​ ​}{​ 1 0 ​} \cdot \frac{​ 3 ​ ​}{​ 1 0 ​} = \frac{​ 2 1 ​ ​}{​ 1 0 0 ​}

P (P, P) = \frac{​ 7 ​ ​}{​ 1 0 ​} \cdot \frac{​ 7 ​ ​}{​ 1 0 ​} = \frac{​ 4 9 ​ ​}{​ 1 0 0 ​}

timer

5:00

Slide 17 - Slide

Note 14.2: Probability trees

The probability of picking the same coulour is:

P (G, G) = \frac{​ 3 ​ ​}{​ 1 0 ​} \cdot \frac{​ 3 ​ ​}{​ 1 0 ​} = \frac{​ 9 ​ ​}{​ 1 0 0 ​}

P (G, P) = \frac{​ 3 ​ ​}{​ 1 0 ​} \cdot \frac{​ 7 ​ ​}{​ 1 0 ​} = \frac{​ 2 1 ​ ​}{​ 1 0 0 ​}

P (P, G) = \frac{​ 7 ​ ​}{​ 1 0 ​} \cdot \frac{​ 3 ​ ​}{​ 1 0 ​} = \frac{​ 2 1 ​ ​}{​ 1 0 0 ​}

P (P, P) = \frac{​ 7 ​ ​}{​ 1 0 ​} \cdot \frac{​ 7 ​ ​}{​ 1 0 ​} = \frac{​ 4 9 ​ ​}{​ 1 0 0 ​}

P (G, G) + P (P, P) = \frac{​ 9 ​ ​}{​ 1 0 0 ​} + \frac{​ 4 9 ​ ​}{​ 1 0 0 ​} = \frac{​ 5 8 ​ ​}{​ 1 0 0 ​} = \frac{​ 2 9 ​ ​}{​ 5 0 ​}

Slide 18 - Slide

Bettermarks

Bettermarks 14.2 part 1
Until 10:45
Raise your finger if you have any questions
Finished? 14.2 part 2

Slide 19 - Slide

Slide 20 - Slide

Slide 21 - Slide

Slide 22 - Slide

What is the percentage of blue markers?

Slide 23 - Slide

Bettermarks

Bettermarks 14.2 part 1 and 14.2 part 2
Until the end of the lesson
Raise your finger if you have any questions or if you're finished

Slide 24 - Slide

Probabilities

Items in this lesson

Slide 1 - Slide

Slide 2 - Quiz

Slide 3 - Quiz

Slide 4 - Quiz

Slide 5 - Slide

Slide 6 - Slide

Slide 7 - Slide

Slide 8 - Slide

Slide 9 - Slide

Slide 10 - Slide

Slide 11 - Slide

Slide 12 - Slide

Slide 13 - Slide

Slide 14 - Slide

Slide 15 - Slide

Slide 16 - Slide

Slide 17 - Slide

Slide 18 - Slide

Slide 19 - Slide

Slide 20 - Slide

Slide 21 - Slide

Slide 22 - Slide

Slide 23 - Slide

Slide 24 - Slide

More lessons like this

Describing probability + Using numbers to describe probability

Elements of art: colour

Recap

Posters: Art and Advertising

5.5 When genes change

Colour theory

Week 4: Maintenance advice part 1: reading

Mental Narratives: Sad Feelings and Depression