T Madas What is the probability of getting

What is the probability of getting 7 if you roll 2 dice and add their scores First Dice Second Dice 1 2 3 4 5 6 6 7 8 1 2 3 4 5 2 3 3 4 4 5 5 6 4 5 6 7 8 6 7 7 8 9 10 11 6 8 9 10 11 12 7 36 outcomes © T Madas

6 1 = What is the probability of getting 7? 36 6 First Dice Second Dice 1 2 3 4 5 6 6 7 8 1 2 3 4 5 2 3 3 4 4 5 5 6 4 5 6 7 8 6 7 7 8 9 10 11 6 8 9 10 11 12 7 © T Madas

3 1 What is the probability of getting a 10? = 36 12 First Dice Second Dice 1 2 3 4 5 6 6 7 8 1 2 3 4 5 2 3 3 4 4 5 5 6 4 5 6 7 8 6 7 7 8 9 10 11 6 8 9 10 11 12 7 © T Madas

What is the probability of getting more than 9? 6 1 = 36 6 First Dice Second Dice 1 2 3 4 5 6 6 7 8 1 2 3 4 5 2 3 3 4 4 5 5 6 4 5 6 7 8 6 7 7 8 9 10 11 6 8 9 10 11 12 7 © T Madas

What is the probability of getting 6 or more? 26 13 = 36 18 First Dice Second Dice 1 2 3 4 5 6 6 7 8 1 2 3 4 5 2 3 3 4 4 5 5 6 4 5 6 7 8 6 7 7 8 9 10 11 6 8 9 10 11 12 7 © T Madas

Tossing Two Coins Simultaneously © T Madas

Rolling Two Coins Simultaneously tail 4 outcomes tail head What is the probability of both coins landing on heads? 1 4 © T Madas

Rolling Two Coins Simultaneously tail head What is the probability of both coins landing on tails? 1 4 © T Madas

Rolling Two Coins Simultaneously tail head What is the probability of one tail and one head ? 1 2 © T Madas

Rolling a dice and turning a spinner at the same time © T Madas

1 2 3 4 5 6 R R 1 R 2 R 3 R 4 R 5 R 6 Y Y 1 Y 2 Y 3 Y 4 Y 5 Y 6 24 outcomes B B 1 B 2 B 3 B 4 B 5 B 6 G G 1 G 2 G 3 G 4 G 5 G 6 © T Madas

1 2 3 4 5 6 R R 1 R 2 R 3 R 4 R 5 R 6 Y Y 1 Y 2 Y 3 Y 4 Y 5 Y 6 B B 1 B 2 B 3 B 4 B 5 B 6 G G 1 G 2 G 3 G 4 G 5 G 6 What is the probability of getting a yellow and an even number? © T Madas

1 2 3 4 5 6 R R 1 R 2 R 3 R 4 R 5 R 6 Y Y 1 Y 2 Y 3 Y 4 Y 5 Y 6 B B 1 B 2 B 3 B 4 B 5 B 6 G G 1 G 2 G 3 G 4 G 5 G 6 What is the probability of getting a green and a prime number? © T Madas

1 2 3 4 5 6 R R 1 R 2 R 3 R 4 R 5 R 6 Y Y 1 Y 2 Y 3 Y 4 Y 5 Y 6 B B 1 B 2 B 3 B 4 B 5 B 6 G G 1 G 2 G 3 G 4 G 5 G 6 What is the probability of getting a red and a factor of 14? © T Madas

A card is drawn from each bag their values are added 3 1 4 2 2 1 5 1 2 3 4 5 6 1 1 2 2 3 4 5 6 7 1 3 4 5 25 6 outcomes 7 8 1 3 © T Madas

A card is drawn from each bag their values are added 4 P(even)=? 3 1 2 5 1 2 3 4 5 6 1 1 2 2 3 4 5 6 7 8 2 1 1 1 3 14 25 © T Madas

A card is drawn from each bag their values are added 4 P(4) = ? 3 1 2 5 1 2 3 4 5 6 1 1 2 2 3 4 5 6 7 2 1 3 4 5 6 7 8 1 1 3 5 1 = 5 25 © T Madas

A card is drawn from each bag their values are added 4 P(prime) = ? 3 1 2 5 1 2 3 4 5 6 1 1 2 2 3 4 5 6 7 8 2 1 1 1 3 14 25 © T Madas

A card is drawn from each bag their values are added 3 1 4 2 P(a factor of 20) = ? 5 1 2 3 4 5 6 1 1 2 2 3 4 5 6 7 8 2 1 1 1 3 13 25 © T Madas

Two fair dice (numbered 1 to 6) are rolled and their scores are multiplied together. Draw a probability space diagram showing all the outcomes. 2 nd dice 1 st dice 1 2 3 4 5 6 1 2 3 2 4 6 3 6 9 4 8 12 5 10 15 6 12 18 4 4 8 12 16 20 24 5 5 10 15 20 25 30 6 6 12 18 24 30 36 © T Madas

Two fair dice (numbered 1 to 6) are rolled and their scores are multiplied together. What is the probability of getting a 12? 2 nd dice 1 st 1 2 3 4 5 6 dice 1 2 3 2 4 6 3 6 9 4 8 12 5 10 15 6 12 18 4 4 8 12 16 20 24 5 5 10 15 20 25 30 6 6 12 18 24 30 36 4 1 =9 36 © T Madas

Two fair dice (numbered 1 to 6) are rolled and their scores are multiplied together. What is the probability of getting a 21? 0 2 nd dice 1 st dice 1 2 3 4 5 6 1 2 3 2 4 6 3 6 9 4 8 12 5 10 15 6 12 18 4 4 8 12 16 20 24 5 5 10 15 20 25 30 6 6 12 18 24 30 36 © T Madas

Two fair dice (numbered 1 to 6) are rolled and their scores are multiplied together. What is the probability of getting 15 or less? 2 nd dice 1 st 1 2 3 4 5 6 dice 1 2 3 2 4 6 3 6 9 4 8 12 5 10 15 6 12 18 4 4 8 12 16 20 24 5 5 10 15 20 25 30 6 6 12 18 24 30 36 25 36 © T Madas

Two fair dice (numbered 1 to 6) are rolled and their scores are multiplied together. What is the probability of getting a number greater than 20? 2 nd dice 1 st 1 2 3 4 5 6 dice 1 2 3 2 4 6 3 6 9 4 8 12 5 10 15 6 12 18 4 4 8 12 16 20 24 5 5 10 15 20 25 30 6 6 12 18 24 30 36 6 1 =6 36 © T Madas

Two fair dice (numbered 1 to 6) are rolled and their scores are multiplied together. What is the probability that you get a square number? 2 nd dice 1 st 1 2 3 4 5 6 dice 1 2 3 2 4 6 3 6 9 4 8 12 5 10 15 6 12 18 4 4 8 12 16 20 24 5 5 10 15 20 25 30 6 6 12 18 24 30 36 6 1 =6 36 © T Madas

Two fair dice (numbered 1 to 6) are rolled and the difference of the scores are recorded Draw a probability space diagram showing all the outcomes. 2 nd dice 1 st dice 1 2 3 4 5 6 1 0 1 2 3 4 5 2 1 0 1 2 3 4 3 2 1 0 1 2 5 4 3 2 1 0 1 6 5 4 3 2 1 0 © T Madas

Two fair dice (numbered 1 to 6) are rolled and the difference of the scores are recorded What is the probability that there is no difference between their scores? 2 nd dice 1 st dice 1 2 3 4 5 6 1 0 1 2 3 4 5 2 1 0 1 2 3 4 3 2 1 0 1 2 5 4 3 2 1 0 1 6 5 4 3 2 1 0 6 1 =6 36 © T Madas

Two fair dice (numbered 1 to 6) are rolled and the difference of the scores are recorded What is the probability that there is a difference of 6 between their scores? 2 nd dice 1 st dice 1 2 3 4 5 6 1 0 1 2 3 4 5 2 1 0 1 2 3 4 3 2 1 0 1 2 5 4 3 2 1 0 1 6 5 4 3 2 1 0 0 © T Madas

Two fair dice (numbered 1 to 6) are rolled and the difference of the scores are recorded What is the probability that there is a difference of 1 between their scores? 2 nd dice 1 st dice 1 2 3 4 5 6 1 0 1 2 3 4 5 2 1 0 1 2 3 4 3 2 1 0 1 2 5 4 3 2 1 0 1 6 5 4 3 2 1 0 10 5 = 18 36 © T Madas

Two tetrahedral (4 – sided) dice numbered 3, 4, 5 and 6 are rolled together and the products of their scores are recorded Draw a probability space diagram showing all the outcomes. 1 st dice 2 nd dice 3 4 5 6 3 9 12 15 4 12 16 20 5 15 20 25 6 18 24 30 36 © T Madas

Two tetrahedral (4 – sided) dice numbered 3, 4, 5 and 6 are rolled together and the products of their scores are recorded What is the probability of getting a number greater than 15? 1 st dice 2 nd dice 3 4 5 6 3 9 12 15 4 12 16 20 5 15 20 25 6 18 24 30 36 11 16 © T Madas

Two tetrahedral (4 – sided) dice numbered 3, 4, 5 and 6 are rolled together and the products of their scores are recorded What is the probability of getting an even number? 1 st dice 2 nd dice 3 4 5 6 3 9 12 15 4 12 16 20 5 15 20 25 6 18 24 30 36 12 3 =4 16 © T Madas

Two tetrahedral (4 – sided) dice numbered 3, 4, 5 and 6 are rolled together and the products of their scores are recorded What is the probability of getting a square number? 1 st dice 2 nd dice 3 4 5 6 3 9 12 15 4 12 16 20 5 15 20 25 6 18 24 30 36 4 1 =4 16 © T Madas

Two tetrahedral (4 – sided) dice numbered 3, 4, 5 and 6 are rolled together and the products of their scores are recorded What is the probability of getting a triangular number? 1 st dice 2 nd dice 3 4 5 6 3 9 12 15 4 12 16 20 5 15 20 25 6 18 24 30 36 3 16 © T Madas

Two boxes contain 3 coloured disks each. The first box contains a black, a green and a red disk. The second box contains a black, a red and a yellow disk. One disk is taken at random from each box. 1. 2. Complete the table below showing the possible outcomes. What is the probability that both disks will be of the same colour? 1 st box B B B G G G R R R 2 nd box B R Y We must be organised in filling this table There are 9 possible outcomes 2 of them show the same colour The required probability is 2 9 © T Madas