Finding the probability of equally likely outcomes.
Interactive files for Statistics & Probability
I should be able to:
Foundation Level
– construct sample spaces for two independent events
– apply the principle that, in the case of equally likely outcomes, the probability is given by the number of outcomes of interest divided by the total number
of outcomes (examples using coins, dice, spinners, containers with different coloured objects, playing cards, sports results, etc.)
Ordinary Level
− find the probability that two independent events both occur
− apply an understanding of Bernoulli trials*
∗ A Bernoulli trial is an experiment whose outcome is random and can be either of two possibilities: “success” or “failure”.
− solve problems involving up to 3 Bernoulli trials
− calculate the probability that the 1st success occurs on the nth Bernoulli trial where n is specified
Higher Level
− solve problems involving calculating the probability of k successes in n repeated Bernoulli trials (normal approximation not required)
− calculate the probability that the kth success occurs on the nth Bernoulli trial
− use simulations to explore the variability of sample statistics from a known population and to construct sampling distributions and
to draw conclusions about the sampling distribution of the mean
− solve problems involving reading probabilities from the normal distribution tables
∗ A Bernoulli trial is an experiment whose outcome is random and can be either of two possibilities: “success” or “failure”.