Probability distribution (AQA GCSE Statistics): Flashcards
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What is a probability distribution?
What is a probability distribution?
It shows possible values and their probabilities.
List outcomes for tossing 3 fair coins.
List outcomes for tossing 3 fair coins.
0, 1, 2, or 3 heads.
What is the probability of 1 head in 3 coin tosses?
What is the probability of 1 head in 3 coin tosses?
P(X = 1) = 0.375 or 37.5% (correct calculation).
Define a binomial distribution.
Define a binomial distribution.
It has two outcomes: success and failure.
What must p + q equal in binomial trials?
What must p + q equal in binomial trials?
p + q = 1.
Calculate probability of 2 successes: p=0.3.
Calculate probability of 2 successes: p=0.3.
P = p^2 = (0.3)^2 = 0.09.
What is the probability of exactly one success in binomial trials?
What is the probability of exactly one success in binomial trials?
P(X = 1) = n * p * (1-p)^(n-1) for n trials.
How to calculate P(both beads white from bags A and B)?
How to calculate P(both beads white from bags A and B)?
Multiply probabilities: P = (5/8) * (5/8) = 25/64.
How do you calculate the probability of drawing a bead?
How do you calculate the probability of drawing a bead?
Use favorable outcomes over total possible outcomes.
How to calculate no 6s in biased dice rolls?
How to calculate no 6s in biased dice rolls?
Use P(no 6) = (1 - P(6))^n for n rolls.