NZ Level 7 (NZC) Level 2 (NCEA)

Replacement and non-replacement probabilities

A container holds four counters coloured red, blue, green and yellow.

a

Draw a tree diagram representing all possible outcomes when two draws are done, and the first counter is replaced before the second draw.

b

Draw a tree diagram representing all possible outcomes if two draws are done, and the first counter is not replaced before the next draw.

Easy

Approx 2 minutes

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S7-4 Investigate situations that involve elements of chance: A comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions B calculating probabilities, using such tools as two-way tables, tree diagrams, simulations, and technology.

Apply probability methods in solving problems