Homework 32: Support: Tree Diagrams
1aDraw a tree diagram to show the possible outcomes when a fair coin is tossed twice. Use your tree diagram to work out the probability of getting Heads both times.
bCarry out an experiment to estimate the experimental probability of getting two Heads when a coin is tossed twice. Decide how many trials you need in the experiment. Calculate the experimental probability of getting two Heads.
cWrite a short report explaining how you designed and carried out your experiment. Give your results and explain whether or not the experimental and theoretical probabilities are in agreement with each other.
2Draw a tree diagram to show the possible outcomes when a fair coin is tossed three times.
Homework 32: Core: Probability
1aDraw a tree diagram to show the possible outcomes when a fair coin is tossed twice. Use your tree diagram to work out the probability of getting Heads both times.
bCarry out an experiment to estimate the experimental probability of getting two Heads when a coin is tossed twice. Decide how many trials you need in the experiment. Calculate the experimental probability of getting two Heads.
cWrite a short report explaining how you designed and carried out your experiment. Give your results and explain whether or not the experimental and theoretical probabilities are in agreement with each other.
2aDraw a tree diagram to show the possible outcomes when a fair coin is tossed three times.
bWhat is the probability of getting
i3 Heads
ii2 Heads and 1 Tail (in any order)?
Homework 32: Extension: Probability
1Eddie and Steve play a game of darts.
They each throw one dart.
The probability that Eddie hits bullseye is .
The probability that Steve hits bullseye is .
Find the probability that:
aboth hit the bullseye
bonly one hits the bullseye
2A box of coloured files is passed around class 9T.
There are 9 purple, 4 yellow and 15 blue files in the box.
Rosanna and Sarah, in that order, are given a file at random.
aDraw a tree diagram to show all the probabilities of the coloured files that Rosanna and Sarah could get.
bCalculate the probability that Sarah gets a purple file.
cCalculate the probability that both girls get the same colour file.