PROBABILITY: MIXED PROBLEMS © Teach To Tell

PROBABILITY WITH MARBLES A bag contains 8 yellow marbles and 7 red marbles. What is the probability of pulling out a yellow marble? 8 15 © Teach To Tell

PROBABILITY WITH MARBLES A bag contains 8 yellow marbles and 7 red marbles. What is the probability of not pulling out a yellow marble? 7 15 © Teach To Tell

PROBABILITY WITH MARBLES A bag contains these 9 marbles. What is the probability of pulling out a red or green marble? 2 9 © Teach To Tell

PROBABILITY WITH CUBES A bag contains the 9 cubes. What is the probability of pulling out a blue cube? 1 9 © Teach To Tell

PROBABILITY WITH CANDY A bag contains 15 yellow candies, 10 red candies and 5 green candies. What is the probability of pulling out a red candy? 10 30 1 3 © Teach To Tell

PROBABILITY WITH OBJECTS A box has the 9 shapes. What is the probability of not pulling out a heart or a diamond? 7 9 © Teach To Tell

PROBABILITY WITH OBJECTS What is the probability of picking a pink, yellow or green flower? 3 9 1 3 © Teach To Tell

PROBABILITY WITH NUMBERS What is the probability of picking a prime number? 4 9 © Teach To Tell

PROBABILITY WITH NUMBERS What is the probability of picking a composite number? 4 9 © Teach To Tell

PROBABILITY WITH NUMBERS What is the probability of picking an even number? 4 9 © Teach To Tell

PROBABILITY WITH NUMBERS What is the probability of picking an odd number? 5 9 © Teach To Tell

PROBABILITY WITH COINS What is the probability of the coin landing on Heads? 1 2 H © Teach To Tell

PROBABILITY WITH COINS What is the probability of the coin landing on Tails? 1 2 T © Teach To Tell

PROBABILITY WITH KITES What is the probability of picking a red kite or a blue kite? 4 18 2 9 © Teach To Tell

PROBABILITY WITH PLAYING CARDS The probability of drawing a queen from a standard deck of cards is: 4 52 1 13 © Teach To Tell

PROBABILITY WITH PLAYING CARDS The probability of drawing hearts and the number 2 is: 1 52 © Teach To Tell

PROBABILITY WITH PLAYING CARDS The probability of drawing a suit is: 4 52 1 13 © Teach To Tell

PROBABILITY WITH PLAYING CARDS The probability of drawing a red card is: 26 52 1 2 © Teach To Tell

1 6 120 x = 20 times 20 PROBABILITY WITH DICE 1 Tom rolled a dice 120 times. The table shows the number of times he rolled each number on the dice. 1 6 20 Numbers on dice Number of Times Rolled 1 35 2 15 3 25 4 12 5 8 6 120 x 1 = 20 times How many times should each number of the dice have appeared? © Teach To Tell

PROBABILITY WITH COINS Sami tossed two coins 20 times. He recorded the outcome of each trial in the table. 5 Outcome Number of Times tossed 2 heads 6 1 Head, 1 Tail 5 2 Tails 9 1 4 20 x 1 = 5 times After 20 trials, how many times should he have had 2 heads? © Teach To Tell

PROBABILITY WITH PEOPLE About 9 out of every 10 people are right-handed. The table below shows the number of students in Jason’s class who are left-handed and right-handed. 10 JASON’S CLASS Left-handed 1 Right-handed 24 Total 25 9 10 100 x = 90% 1 What is the theoretical probability that someone is right-handed? Write your answer as a percent. © Teach To Tell

PROBABILITY WITH PEOPLE What is the experimental probability that a student in Jason’s class is right-handed? Write your answer as a percent. JASON’S CLASS Left-handed 1 Right-handed 24 Total 25 4 24 25 100 x = 96% 1 © Teach To Tell

PROBABILITY WITH DICE There are 36 possible outcomes when two six-sided dice are rolled. You can roll doubles for 6 of these outcomes. 6 36 1 6 What is the theoretical probability of rolling doubles? © Teach To Tell

PROBABILITY WITH DICE There are 36 possible outcomes when two six-sided dice are rolled. You can roll doubles for 6 of these outcomes. 8 40 1 5 Jason rolled two dice 40 times and rolled doubles on 8 of these turns. What is the experimental probability of rolling doubles? © Teach To Tell

BW, BB RW, RB GW, GB DRAWING TREE DIAGRAMS Here is a tree diagram to show all the ways Sara can choose a dress color and a bag color. SARA’S COMBINATIONS Dress color Bag color Blue Red Green white black Dress color white (W) Blue (B) Bag color black (B) BW, BB RW, RB GW, GB white (W) Red (R) black (B) white (W) There are 6 possible combinations. Green (G) black (B) © Teach To Tell

RB, RC, RS, RV LB, LC, LS, LV There are 8 possible choices. DRAWING TREE DIAGRAMS BURGER SIZES SIZES BURGERS Regular Large Beef Burger Chicken Burger Soya Burger Veggie Burger The table shows four burgers available in two sizes. Here is a tree diagram to show all the possible choices. Burgers Beef Burger Sizes Chicken Regular Soya RB, RC, RS, RV LB, LC, LS, LV Veggie Beef Chicken Large There are 8 possible choices. Soya Veggie © Teach To Tell

There are 12 possible outcomes. DRAWING TREE DIAGRAMS A six-sided dice is rolled and a coin is tossed. Here is a tree diagram that lists all the possible outcomes. H1, H2, H3, H4, H5, H6 T1, T2, T3, T4, T5, T6 There are 12 possible outcomes. © Teach To Tell

There are 12 possible outcomes. DRAWING A GRID A six-sided dice is rolled and a coin is tossed. Here is a grid that lists all the possible outcomes. 1 2 3 4 5 6 H T Outcomes of dice Outcomes of coin H1 H2 H3 H4 H5 H6 T1 T2 T3 T4 T5 T6 There are 12 possible outcomes. © Teach To Tell

DRAWING A GRID Heads Tails Heads Tails Here is a grid to list all the possible outcomes if two coins are tossed. H T Coin 2 Heads Tails H T Heads HH HT Coin 1 H Tails TH TT T There are 4 possible outcomes: HH, HT, TH, TT © Teach To Tell

HH HT TH TT DRAWING TREE DIAGRAMS H T There are 4 possible outcomes Two coins are tossed. Here is a tree diagram to list all the possible outcomes. H HH H HT T TH H TT T T There are 4 possible outcomes © Teach To Tell

PROBABILITY WITH COINS Two coins are tossed. What is the probability of getting Heads and Tails in that order? H 1 4 H T H T T © Teach To Tell

PROBABILITY WITH COINS Two coins are tossed. What is the probability of getting Tails and Tails? H 1 4 H T H T T © Teach To Tell

DRAWING A GRID: TWO DICE ROLLED Two dice are rolled. Here is a grid to list all the possible outcomes. There are 36 possible outcomes Dice 2 1 2 3 4 5 6 Dice 1 1 1,1 1,2 1,3 1,4 1,5 1,6 2 2,1 2,2 2,3 2,4 2,5 2,6 3 3,1 3,2 3,3 3,4 3,5 3,6 4 4,1 4,2 4,3 4,4 4,5 4,6 5 5,1 5,2 5,3 5,4 5,5 5,6 6 6,1 6,2 6,3 6,4 6,5 6,6 © Teach To Tell

SPINNER 1 SPINNER 2 DRAWING A GRID RR RY RB RG YR YY YB YG BR BY BB BG Here is a grid to list all the possible outcomes of colors on two spinners. Red (R) Yellow (Y) Blue (B) Green (G) SPINNER 1 RR RY RB RG SPINNER 2 YR YY YB YG BR BY BB BG GR GY GB GG There are 16 possible outcomes. © Teach To Tell

DRAWING A TREE DIAGRAM R1, R2, R3, R4, R5, R6 B1, B2, B3, B4, B5, B6 Here is a tree diagram to list all the possible outcomes of colors on the spinner and a dice. R red R1, R2, R3, R4, R5, R6 B1, B2, B3, B4, B5, B6 Y1, Y2, Y3, Y4, Y5, Y6 G1, G2, G3, G4, G5, G6 blue yellow green There are 24 possible outcomes. © Teach To Tell

Outcomes of spinner colors DRAWING A GRID Here is a grid to list all the possible outcomes of colors on the spinner and a dice. 1 2 3 4 5 6 R B Y G Outcomes of dice R1 R2 R3 R4 R5 R6 B1 B2 B3 B4 B6 B6 Outcomes of spinner colors Y1 Y2 Y3 Y4 Y5 Y6 G1 G2 G3 G4 G5 G6 There are 24 possible outcomes. © Teach To Tell