NZ Level 7 (NZC) Level 2 (NCEA)
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Replacement and non-replacement probabilities

Interactive practice questions

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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A container holds three cards coloured red, blue and green.

What is the probability of drawing a green counter from a bag of $5$5 green counters and $6$6 black counters, replacing it and drawing another green counter?

Two cards are to be chosen from a pack of cards numbered $1$1 to $6$6. What is the probability of drawing a $1$1, $2$2 or $3$3 first, and after replacing the card, drawing a $4$4, $5$5 or $6$6?

Outcomes

S7-4

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.

91267

Apply probability methods in solving problems

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