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Two dice are tossed. The probability that the total score is a prime number is:
- A5/12
- B1/6
- C1/2
- D7/9
Correct answer: A
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0
CCommunity
5/12
NA
NA
0
CCommunity
Solution:
Number of sample space when two dice are tossed is,
n(S) = 36
Let A be the event of getting a total score as a prime number.
A = { (1,1),(1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2), (5,6),(6,1),(6,5) }
n(A) =15
So, P(A) = n(A)/n(S)
P(A) = 15 / 36
P(A) = 5 / 12
So, the correct option is A). 5/12
Number of sample space when two dice are tossed is,
n(S) = 36
Let A be the event of getting a total score as a prime number.
A = { (1,1),(1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2), (5,6),(6,1),(6,5) }
n(A) =15
So, P(A) = n(A)/n(S)
P(A) = 15 / 36
P(A) = 5 / 12
So, the correct option is A). 5/12