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A Black Die and a White Die Are Thrown at the Same Time. Write All the Possible Outcomes. What is the Probability of Obtaining a Total More than 9? - CBSE Class 10 - Mathematics

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Question

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability of obtaining a total more than 9?

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 obtaining a total more than 9

No. of favourable outcomes = 6 {(4, 6) (5, 5) (6, 4) (5, 6) (6, 5) (6, 6)}

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

P(E) =6/36 =1/6

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Solution A Black Die and a White Die Are Thrown at the Same Time. Write All the Possible Outcomes. What is the Probability of Obtaining a Total More than 9? Concept: Probability - A Theoretical Approach.
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