It is impossible to get a sum of 14 of the numbers on both dice when a pair of dice is thrown together. State whether the given statement is true or false.

Solution:

Given, It is impossible to get a sum of 14 of the numbers on both dice when a pair of dice is thrown together.

We have to determine if the given statement is true or false.

When a pair of dice is thrown together, the possible outcomes 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)}

The maximum sum of number on two dice is 6 + 6 = 12

Therefore, it is impossible to get a sum of 14.

✦ Try This: It is impossible to get a sum of 10 of the numbers on both dice when a pair of dice is thrown together. State whether the given statement is true or false.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 3

NCERT Exemplar Class 7 Maths Chapter 3 Problem 36

It is impossible to get a sum of 14 of the numbers on both dice when a pair of dice is thrown together. State whether the given statement is true or false

Summary:

The given statement, ”It is impossible to get a sum of 14 of the numbers on both dice when a pair of dice is thrown together” is true.

☛ Related Questions:

• The probability of the spinning arrow stopping in the shaded region (Fig. 3.4) is 1/2. State whether . . . .
• A coin is tossed 15 times and the outcomes are recorded as follows : H T T H T H H H T T H T H T T. . . . .
• Mean, Median and Mode may be the same for some data. State whether the statement is true or false