Probability

NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Dependent Events

A bag contains the letters A, B, C, D and E. Two letters are randomly drawn out of the bag without replacement.

a

Construct a probabilty tree showing all possible outcomes:

b

Find the probability A is drawn followed by B drawn.

c

Find the probability that two A's are drawn.

d

Find the probability C is not drawn.

e

Find the probability that D is drawn.

f

Find the probability that E is drawn and B is not.

g

Find the probability that C or D is drawn?

h

Find the probability that neither C nor D are drawn.

Easy

Approx 7 minutes

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Investigate situations that involve elements of chance: A calculating probabilities of independent, combined, and conditional events B calculating and interpreting expected values and standard deviations of discrete random variables C applying distributions such as the Poisson, binomial, and normal

Apply probability concepts in solving problems