Rahul and Ravi planned to play Business ( board game) in which they were supposed to use two dice

Question 1

Ravi got first chance to roll the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 8?

(a) 1/26 (b) 5/36 (c) 1/18 (d) 0

Question 2

Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 13?

(a) 1 (b) 5/36 (c) 1/18 (d) 0

Question 3

Now it was Ravi’s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12 ?

(a) 1 (b) 5/36 (c) 1/18 (d) 0

Question 4

Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is equal to 7 ?

(a) 5/9 (b) 5/36 (c) 1/6 (d) 0

Question 5
Now it was Ravi’s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is greater than 8 ?
(a) 1 (b) 5/36 (c) 1/18 (d) 5/18

Transcript

Question Rahul and Ravi planned to play Business ( board game) in which they were supposed to use two diceFirst dice
Second dice
Question 1 Ravi got first chance to roll the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 8? (a) 1/26 (b) 5/36 (c) 1/18 (d) 0Probability that sum of two numbers is 8
= (ππ’ππππ ππ ππ’π‘πππππ π€βπππ π π’π ππ 8)/(πππ‘ππ ππ’ππππ ππ ππ’π‘πππππ )
= π/ππ
So, correct answer is (b)
Question 2 Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 13? (a) 1 (b) 5/36 (c) 1/18 (d) 0Number of outcomes where sum is 13 = 0
Probability that sum of two numbers is 13
= (ππ’ππππ ππ ππ’π‘πππππ π€βπππ π π’π ππ 13)/(πππ‘ππ ππ’ππππ ππ ππ’π‘πππππ )
= 0/36
= 0
So, correct answer is (d)
Question 3 Now it was Raviβs turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12 ? (a) 1 (b) 5/36 (c) 1/18 (d) 0Number of outcomes where sum is less than or equal to 12 = 36
Probability that sum of two numbers is less than or equal to 12
= (ππ’ππππ ππ ππ’π‘πππππ π€βπππ π π’π ππ πππ π π‘βππ ππ πππ’ππ π‘π 12)/(πππ‘ππ ππ’ππππ ππ ππ’π‘πππππ )
= 36/36
= 1
So, correct answer is (a)
Question 4 Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is equal to 7 ? (a) 5/9 (b) 5/36 (c) 1/6 (d) 0Number of outcomes where sum is 7 = 6
Probability that sum of two numbers is 7
= (ππ’ππππ ππ ππ’π‘πππππ π€βπππ π π’π ππ 7)/(πππ‘ππ ππ’ππππ ππ ππ’π‘πππππ )
= 6/36
= π/π
So, correct answer is (c)
Question 5 Now it was Raviβs turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is greater than 8 ? (a) 1 (b) 5/36 (c) 1/18 (d) 5/18Number of outcomes where sum is greater than 8
= 4 + 3 + 2 + 1
= 10
Probability that sum of two numbers is greater than 8
= (ππ’ππππ ππ ππ’π‘πππππ π€βπππ π π’π ππ πππππ‘ππ π‘βππ 8)/(πππ‘ππ ππ’ππππ ππ ππ’π‘πππππ )
= 10/36
= π/ππ
So, correct answer is (d)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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