Probability Mutliple Event Demonstration This resource provides animated
Probability – Mutliple Event – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.
Sal & Sara both have a bag with cubes in. Sal picks a cube randomly, then Sara picks a cube randomly. What is the probability that a red & a yellow cube are picked? To help, we can list the possible outcomes. There are 4 possible outcomes. There is one way to get a red & a yellow cube. P(red & yellow) = What is the connection between the individual probabilities & the combined probability?
Sal & Sara both have a bag with cubes in. Sal picks a cube randomly, then Sara picks a cube randomly. What is the probability that a red & a yellow cube are picked? To help, we can list the possible outcomes. There are 6 possible outcomes. There is one way to get a red & a yellow cube. P(red & yellow) = What is the connection between the individual probabilities & the combined probability?
Sal & Sara both have a bag with cubes in. Sal picks a cube randomly, then Sara picks a cube randomly. What is the probability that a red & a yellow cube are picked? To help, we can list the possible outcomes. There are 9 possible outcomes. There is one way to get a red & a yellow cube. P(red & yellow) = What is the connection between the individual probabilities & the combined probability?
To find the probability of two events happening, we multiply their probabilities together. If we pick a cube from the first bag, then pick a cube from the second bag: p(red & yellow) = p(red) × p(yellow) We can show this with a tree diagram. × = = = = = There are 9 equally likely outcomes.
p(red & yellow) = p(red) × p(yellow) × = = = = There are 12 equally likely outcomes.
Mike & Mitch both have a coin. Mike flips his coin, then Mitch flips his coin. What is the probability both are tails? Sample Space Diagram Tails Heads Tails TT TH Heads HT HH Tree Diagram Tails P (TT) = Heads Tails Heads
Find the probability of these combined events. 1 cube taken from each bag. P (red & yellow cube) =
DEMO Probability of Combined Events Mike rolls a dice & flips a coin. What is the probability the dice lands on 6 AND the coin shows tails? P(6) P(Tails) ×
DEMO Probability of Combined Events Zoe spins the spinner twice. What is the probability it lands on 4 twice? P(4) × YOUR TURN
DEMO Probability of Combined Events Jess rolls a dice & flips a coin. What is the probability the dice shows 8 AND the coin shows tails? P(8) P(Tails) ×
DEMO YOUR TURN Probability of Combined Events Jess rolls a dice & flips a coin. Joe rolls a dice & flips a coin. What is the probability the dice shows 8 AND the coin shows tails? What is the probability the dice shows 4 AND the coin shows tails? P(8) P(Tails) × P(4) P(Tails) ×
DEMO YOUR TURN Probability of Combined Events Jess rolls a dice & flips a coin. Tom rolls a dice & spins a spinner. What is the probability the dice shows 8 AND the coin shows tails? P(8) P(Tails) × What is the probability the dice shows 1 AND the spinner shows 4? P(1) P(4) ×
DEMO YOUR TURN Probability of Combined Events Jess rolls a dice & flips a coin. Mo spins two spinners. What is the probability the dice shows 8 AND the coin shows tails? P(8) P(Tails) × What is the probability the 1 st shows 5 AND the 2 nd shows 3? P(5) P(3) ×
DEMO YOUR TURN Probability of Combined Events Jess rolls a dice & flips a coin. Sal spins two spinners. What is the probability the dice shows 8 AND the coin shows tails? P(8) P(Tails) × What is the probability the 1 st shows an odd number AND the 2 nd shows a 4? P(odd) P(4) ×
DEMO YOUR TURN Probability of Combined Events Jess rolls a dice & flips a coin. Kris spins a spinner twice. What is the probability the dice shows 8 AND the coin shows tails? P(8) P(Tails) × What is the probability the 1 st result is odd AND the 2 nd result is even? P(odd) P(even) ×
DEMO YOUR TURN Probability of Combined Events Jess rolls a dice & flips a coin. Steve flips a coin three times. What is the probability the dice shows 8 AND the coin shows tails? P(8) P(Tails) What is the probability of 3 tails in a row? × P(T) ×
DEMO YOUR TURN Probability of Combined Events Jess rolls a dice & flips a coin. Derek spins a spinner three times. What is the probability the dice shows 8 AND the coin shows tails? P(8) P(Tails) What is the probability of scoring 15 in total? × P(5) ×
What is the probability of scoring two 8 s in a row on this dice? What is the probability of scoring two 5 s in a row with this spinner? What is the probability of getting four tails in a row? What is the probability of scoring 9 in total with these two spinners? A cube is taken from each bag. What is the probability they are both blue? Two cubes are taken from this bag, what is the probability they are both red?
What is the probability of scoring three 2 s in a row on this dice? What is the probability of scoring 11 in total with these two spinners? What is the probability of getting three prime numbers in a row? A cube is taken from each bag. What is the probability they are both blue? A cube is taken from each bag. What is the probability they are all blue? Two cubes are taken from this bag, what is the probability they are both yellow?
Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk
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