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New Zealand
Level 8 - NCEA Level 3

Dependent Events

Interactive practice questions

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


Construct a probabilty tree showing all possible outcomes:


Find the probability A is drawn followed by B drawn.


Find the probability that two A's are drawn.


Find the probability C is not drawn.


Find the probability that D is drawn.


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


Find the probability that C or D is drawn?


Find the probability that neither C nor D are drawn.

Approx 7 minutes
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Buzz is dealing cards from a regular deck. How many possible outcomes are there if he deals one card each to:

A carton contains a dozen eggs, of which $4$4 contain no yolk.

If $3$3 eggs are chosen at random for a cake, what is the probability that they all have no yolk?

A class contains $5$5 girls and $6$6 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?



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

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