Bag C Bag A Bag B Three bags of counters are used in a game. At the start of the game Bag A contains 5 red counters and

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Bag C Bag A Bag B Three Bags Of Counters Are Used In A Game At The Start Of The Game Bag A Contains 5 Red Counters And 1 (58.1 KiB) Viewed 31 times

Bag C Bag A Bag B Three bags of counters are used in a game. At the start of the game Bag A contains 5 red counters and 4 white counters. Bag B contains 4 red counters and 1 white counter. Bag C contains 3 red counters and 3 white counters. The game begins by taking at random a counter from Bag A. If the counter is red, a counter is then taken at random from Bag B. If the counter taken from Bag A is white, a counter is taken at random from Bag C. (a) Complete the probability tree diagram. (3) (b) Show that the probability that the second counter taken is red is twice the probability that the second counter taken is white. (5) Given that the second counter taken is red, (c) find the probability that the first counter taken is white. 3 20