EM-2900

Tree diagrams

E Math · Secondary 4 · Hard · Tree diagrams

A box contains 4 green and 2 yellow counters. A second box contains

n

green and 3 yellow counters. One counter is drawn at random from the first box and placed into the second box. Then a counter is drawn at random from the second box.
The probability of drawing a green counter from the first box and then a green counter from the second box is

\dfrac{2}{9}

.
Find the value of

n

$n = 1$
$n = 2$
$n = 3$
No integer value of $n$ satisfies the condition

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