If one of the pairs is given, then what is the probability that all the other

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Question

If one of the pairs is given, then what is the probability that all the other required pairs can be determined?

Options:

A .

\frac{4}{10}

B .

\frac{5}{10}

C .

\frac{7}{10}

D .

\frac{3}{10}

Answer: Option B
:
B

The correct option is (b).

If the pairs (BLUE, GREEN), (BLUE, PINK), (BLUE, PURPLE), (RED, PURPLE) and (YELLOW, PURPLE) are given, then all other pairs can be determined, while if the pairs (BLUE, YELLOW), (RED, YELLOW), (RED, PINK), (GREEN, PINK) and (GREEN, PURPLE) are given, then all other pairs cannot be determined. Therefore, required probability.

$= \frac{T o t a l n u m b e r o f f a v o u r a b l e c a s e s}{t o t a l n u m b e r o f p o s s i b l e c a s e s} = \frac{5}{10}$

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