Two Dice Are Thrown Simultaneously. What is the Probability That 5 Wifi Come up at Both Dice? - Mathematics

Two dice are thrown simultaneously. What is the probability that 5 wifi come up at both dice?

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 getting 5 on both dice

No. of favourable outcomes = 1 { (5, 5) }

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

P(E) = 1/36

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 16 Probability
Exercise 16.1 | Q 62.3 | Page 25