A 3 striped flag is formed with 8 different colours. Find the probability that no two adjacent stripes in a flag should have same colour.
Answers
Given : 3 striped flag is formed with 8 different colours
no two adjacent stripes in a flag should have same colour.
To Find : Find the probability
Solution:
Total number of selection = 8 * 8 * 8
no two adjacent stripes in a flag should have same colour.
Middle strip can be selected in 8 ways
other two strips can be selected in 7 ways
Total number of ways if no two adjacent stripes in a flag should have same colour.= 8 * 7 * 7
Probability = 8 * 7 * 7 / 8 * 8 * 8
= 49/64
49/64 is the probability that no two adjacent stripes in a flag should have same colour.
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