Math, asked by jeane, 1 year ago

"Two different dice are thrown together. Find the probability of:
(i) getting a number greater than 3 on each die
(ii) getting a total of 6 or 7 of the numbers on two dice"
Please tell what does the first point mean

Answers

Answered by siddhartharao77
22

Answer:

1/4, 11/36

Step-by-step explanation:

Total number of dice thrown = 2.

Possible outcomes n(S) = 6² = 36.

(i) each

Let E₁ be the event of getting a number greater than 3.

E₁ = [(4,4),(4,5),(4,6),(5,4),(5,5),(5,6),(6,4),(6,5),(6,6)]

n(E₁) = 9.

Required probability P(E) = n(E₁)/n(S)

                                         = 9/36

                                   = 1/4

(ii) Getting a total of 6 (or) 7:

Let E₂ be the event of getting a total of 6 (or) 7.

P(getting 6) = (3,3), (4,2), (2,4), (5,1), (1,5).

P(getting 7) = (6,1), (1,6), (2,5),(5,2), (3,4), (4,3)

P(6 ∪ 7) = 11/36.

Hope it helps!

Answered by Anonymous
103

Two different die are thrown together . So the number of possibilities will be 6  × 6 = 36 because in each case there are 6 chances and there are 6 cases . We can show that the number of possibilities is 36 by drawing the sample space :

Sample space

{ (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)}

So number of possibilities = 36 .

(i)

Getting a number greater than 3

There are only 3 numbers in a dice greater than 3 .

They are 4,5 and 6 . So we must get either 4,5 or 6 and it has to be from the possibilities .

Sample space

(4,4),(4,5),(4,6),

(5,4),(5,5),(5,6),

(6,4),(6,5),(6,6)

Hence there are 9 outcomes that are favourable .

Probability = number of favourable outcomes / number of possible outcomes

⇒ Probability = 9/36

⇒ Probability = 1/4

(ii)

Getting total 6 or 7

Sample space

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

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

Hence the number of possibilities favourable is 5 + 6 = 11

Probability = number of favourable outcomes / number of possible outcomes

⇒ Probability = 11/36


Sauron: great answer❤️☺️❤️
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