Starter

StarterAll the letters from the work POSSIBILITY are written on a piece of card and turned face down. One card is selected at random.

Which of the following events are mutually exclusive:Getting a vowel or a consonantGetting a letter in the 1st half of the alphabet or getting a letter in the 2nd half of the alphabetGetting a letter in the word SOB or getting a letter in the word LISTGetting a letter in the word YOBS or getting a letter in the word LIP

What is the probability of getting an S?

What is the probability of getting a consonant?

What is the probability of getting a vowel or an S?

Sample Space DiagramsLearning Objectives:

Able to calculate the probability of mutually exclusive eventsAble to draw a sample space diagramAble to calculate probabilities using a sample space diagram27/04/2015Grade DSample Space DiagramsWe can use a sample space diagram to help determine and list all the possible outcomes of two events.

Consider the situation where I roll two dice and add the scores together. This can be represented using a sample space diagram

What is the probability of getting a sum of 7?

What is the probability of getting a sum that is odd?

What is the probability of getting a prime number or an even number?StarterJackJackQueenQueenKing11J1J1Q1Q1K22J2J2Q2Q2K33J3J3Q3Q3K44J4J4Q4Q4K55J5J5Q5Q5K66J6J6Q6Q6KThe sample space diagram on the left shows all the possible outcomes of picking a picture card at random and rolling a die.

Calculate the probability of:Getting a 3 on the die and a KingGetting a QueenGetting a 5 or a QueenGetting at least a 4 on the die and a Jack

Sample Space DiagramsLearning Objectives:

Able to calculate the probability of mutually exclusive eventsAble to draw a sample space diagramAble to calculate probabilities using a sample space diagram27/04/2015Grade DSample Space DiagramIn your workbooks, draw sample space diagrams to show all the possible outcomes when:

You roll two dice and calculate the product of the diceYou flip two coinsYou have two bags containing coloured balls. Bag A contains 2 red, 2 blue and a white ball. Bag B contains 3 red, 1 blue and a green ball. You pick one ball from each bag.Calculate the probability of getting a product that is:Evenii. Primeiii. Greater than 20

Calculate the probability of getting:Two headsii. At least one tailNo tailsiv. Either a head or a tail

Calculate the probability of getting:Two blue ballsii. A red and a blue ballAt least one red ballA white and a green ballTwo green ballsSample Space DiagramsComplete the worksheet in your workbooks

Home LearningComplete the questions from the worksheet in your work books.

DUE: Monday 27th February