An unbiased cubic die marked with 1,2,2,3,3,3 is rolled 3 times. The probability of getting a total score of 4 or 6 is `16//216` b. `50//216` c. `60//

Question

An unbiased cubic die marked with 1,2,2,3,3,3 is rolled 3 times. The probability of getting a total score of 4 or 6 is `16//216` b. `50//216` c. `60//

An unbiased cubic die marked with 1,2,2,3,3,3 is rolled 3 times. The probability of getting a total score of 4 or 6 is `16//216` b. `50//216` c. `60//216` d. none of these
A. `16//216`
B. `50//216`
C. `60//216`
D. None of these

Monjur Alahi

4 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
Die marked with `1,2,2,3,3,3,` is thrown 3 times.
`P(1)=1/6,P(2)=2/6,P(3)=3/6`
`P(S) =P(4 or 6)`
= P (112(3 cases) or 123 (6 cases) or 222)
`=3xx1/6xx1/6xx2/6+6(1)/(6)xx2/6xx3/6+2/6xx2/6xx2/6`
`=(6+36+8)/(216)=(50)/(216)=(25)/(108)`

4 views Answered 2023-02-05 15:29