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# Two Dice Are Rolled Together. Find the Probability of Getting: a Total of at Least 10 - Mathematics

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#### Question

Two dice are rolled together. Find the probability of getting: a total of at least 10

#### Solution

n(s) = 36 i.e.

(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)

(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)

(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

In throwing a dice, total possible outcomes={1,2,3,4,5,6}

n(s)=6

for two dice, n(s)= 6 x 6=36

E= event of getting a total of at least 10={(4,6),(5,5),(5,6),(6,4),(6,5),(6,6)}

n(E)=6

Probability of getting a total of at least 10= (n(E))/(n(s))=6/36=1/6

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#### APPEARS IN

Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 25: Probability
Exercise 25(B) | Q: 8.1 | Page no. 393
ICSE Solution for Class 10 Mathematics (2020 (Latest))
Chapter 20: Probability
Exercise | Q: 19.3