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# Two Dice Are Thrown Simultaneously. What is the Probability That 5 Will Come up on at Least One? - CBSE Class 10 - Mathematics

ConceptProbability - A Theoretical Approach

#### Question

Two dice are thrown simultaneously. What is the probability that 5 will come up on at least one?

#### Solution

Total no. of possible outcomes when 2 dice are thrown = 6 × 6 = 36 which are

{ (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) }

E ⟶ event of 5 coming up at least once {(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (5, 1) (5, 2) (5, 3) (5, 4) (5, 6) (6, 5)}

Probability, P(E) ="No.of favorable outcomes"/"Total no.of possible outcomes"

P(E) = 11/36

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Solution Two Dice Are Thrown Simultaneously. What is the Probability That 5 Will Come up on at Least One? Concept: Probability - A Theoretical Approach.
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