Two players toss 4 coins each. The probability that they both obtain the same number of heads is `5//256` b. `1//16` c. `35//128` d. none of these

Question

Two players toss 4 coins each. The probability that they both obtain the same number of heads is `5//256` b. `1//16` c. `35//128` d. none of these

Two players toss 4 coins each. The probability that they both obtain the same number of heads is `5//256` b. `1//16` c. `35//128` d. none of these
A. `5//256`
B. `1//16`
C. `35//128`
D. None of these

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 - C
The required probability is
`=[""^(4)C_(0)((1)/(2))^(0)((1)/(2))^(4)]^(2)+[""^(4)C_(1)((1)/(2))^(1)((1)/(2))^(3)]^(2)`
`=[""^(4)C_(2)((1)/(2))^(2)((1)/(2))^(2)]^(2)+[""^(4)C_(3)((1)/(2))^(3)((1)/(2))^(1)]^(2)`
`+[""^(4)C_(4)((1)/(2))^(4)((1)/(2))^(0)]^(2)=35/128`

5 views Answered 2023-02-05 15:29