In a bag there are 6 balls of which 3 are white and 3 are black. They are drwn successively with replacement. What is the chance that the colours are

Question

In a bag there are 6 balls of which 3 are white and 3 are black. They are drwn successively with replacement. What is the chance that the colours are

In a bag there are 6 balls of which 3 are white and 3 are black. They are drwn successively with replacement. What is the chance that the colours are alternate ?

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - `1/32`
P (six balls drawn follow the pattern WBWBWB)
`=((3)/(6))^(6)=((1)/(2))^(6)=(1)/(64)`
`therefore` P(six balls drawn follow the pattern BWBWBW)
`=((3)/(6))^(6)=((1)/(2))^(6)=(1)/(64)`
`therefore"Required probability"=1/64+1/64=1/32`

5 views Answered 2023-02-05 15:29