Get set!.  A die is thrown. What is the probability of throwing: A number less than 3? A number less than 3?

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Presentation transcript:

Get set!

 A die is thrown. What is the probability of throwing: A number less than 3? A number less than 3?

 Jane's birthday is on 22 November. What is the probability that her birthday will be on: A day beginning with 't'?

In a town, three out of 5 children own a bicycle. If there are 2000 children in the town, how many would you expect to own a bicycle? In a town, three out of 5 children own a bicycle. If there are 2000 children in the town, how many would you expect to own a bicycle?

 A bag contains 12 white balls and 6 red balls. A student takes a ball from the bag. What is the probability that the ball is White?

 If two one dollar coins are tossed together: List the sample space of the outcomes, e.g. {(T, T),...} List the sample space of the outcomes, e.g. {(T, T),...}

 If two one dollar coins are tossed together: What is the probability of getting 2 heads? What is the probability of getting 2 heads?

A die is rolled 60 times. How many times would you expect to throw A die is rolled 60 times. How many times would you expect to throw numbers less than 4? numbers less than 4?

 A die is rolled twice and the total is noted. Find the probability of getting: Two fours. Two fours.

 If two one dollar coins are tossed together: What is the probability of getting at least one head? What is the probability of getting at least one head?

Give at least two methods of simulating a probability of 50%. Give at least two methods of simulating a probability of 50%.

The end

Hard back Paper back total Non- fiction 6410 fiction22022 total82432 (a)If one book is taken off the shelf at random, calculate the P(paperback, non-fiction) P(fiction)

Calculate Probability : 1.Both green Probability Traffic Light 1Traffic Light 2 On route to school I pass two sets of traffic light. They work independently. Traffic Light 1 Traffic light 2 (r,R) (g,R) (a,R) (r,A) (g,A) (a,A) (r,G) (g,G) (a,G) AGR a g r 2. At least one green 3. One is amber one red

Calculate Probability : 1.Both green Probability Traffic Light 1Traffic Light 2 Combined Probabilities Another way of representing the data ! Tree Diagram T L 1 (r,R) (g,R) (a,R) (r,A) (g,A) (a,A) (r,G) (g,G) (a,G) A G R a g r 2. At least one green 3. One is amber one red A G R A G R T L2

Probability Example : There are 12 balls in a box. Mutually Exclusive Q. What is the probability of picking a green ball. Q. What is the probability of picking a white ball. Q. What is the probability of picking a green OR white ball. P(G) = P(W) = P(G or W) = P(G) + P(W)

Tree Diagrams  School is selling ‘scratch & win’ cards as a fundraising project. Each card has a chance of 1/3 of winning a prize. Alex has bought 2 cards.  (a) Show the outcomes in a tree diagram each with their probability of happening.  (b) Calculate P(one prize)  (c) Calculate P(at least one prize)

Sam and Din play two games of tennis. The probability of Sam winning the first game is 1/3. If he wins the first game, the probability of him winning the second game is 2/3, but if he loses the first game the probability of him losing the second game is 1/2. (a)Draw a probability tree for these two games (b)What is the probability of Sam winning both games? (c)What is the probability of Sam losing both games? (d)What is the probability of Din winning one game and losing one game?

Eg marbles in a bag 3 red, 2blue, 5 green. We take out one and then DON’T put it back and then take out another.

Jaz goes to Rome. She has a guide book which lists 19 important statues. 9 were erected in the 19 th century and 10 were erected in the 20 th century. If she visits two statues at random what is the probability that both were erected in the 19 th century