Replacement and non-replacement probabilities
Interactive practice questions
A container holds four counters coloured red, blue, green and yellow.
Draw a tree diagram representing all possible outcomes when two draws are done, and the first counter is replaced before the second draw.
Draw a tree diagram representing all possible outcomes if two draws are done, and the first counter is not replaced before the next draw.
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?