EM-2902

Tree diagrams

E Math · Secondary 4 · Hard · Tree diagrams

Bag X contains 4 green counters and 2 yellow counters. Bag Y contains

n

green counters and 3 yellow counters. One counter is drawn at random from Bag X and placed into Bag Y. Then a counter is drawn at random from Bag Y.
The probability of drawing a green counter from Bag X and then a green counter from Bag Y is

\dfrac{2}{5}

.
Find the value of

n

No integer value of $n$ satisfies the condition
$n = 4$
$n = 7$
$n = 10$

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