An unbiased coin is tossed 6 times. The probability that third head appears on the sixth trial is `5//16` b. `5//32` c. `5//8` d. `5//64`

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An unbiased coin is tossed 6 times. The probability that third head appears on the sixth trial is `5//16` b. `5//32` c. `5//8` d. `5//64`

An unbiased coin is tossed 6 times. The probability that third head appears on the sixth trial is `5//16` b. `5//32` c. `5//8` d. `5//64`
A. `5//16`
B. `2//32`
C. `5//8`
D. `5//64`

Monjur Alahi

8 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 - B
Probability of getting 2 heads in the first 5 trials is
`""^(5)C_(2)((1)/(2))^(2)((1)/(2))^(3)=10/32=5/16`
Therefore, the probability that third head appears on the sixth trial is `5//16xx1//2=5//32.`

8 views Answered 2023-02-05 15:29