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Q.

State true/false.


Two dice, one red and one black are thrown simultaneously. A student of class x makes the following table.


Question Image

Ritu observes the above table and remarks that it is correct.


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a

True

b

False 

answer is A.

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Detailed Solution

Given, two dice, one red and one black are thrown simultaneously.
P(e) = Possible no.of outcomes total no. of outcomes  
Total number of possible events or outcomes for 2 dice = 36

Event:                                                            Reason:

Sum On 2 Dice             Probability              Possible Events

2                                       1/36   1+1 => 1

3                                       2/36   1+2, 2+1 => 2

4                                       3/36   1+3, 2+2, 3+1 => 3

5                                       4/36   1+4,2+3,4+1,3+2=>4

6                                       5/36   1+5,3+3,2+4,5+1,4+2=>5

7                                       6/36   1+6,2+5,3+4,4+3,5+2,6+1=>6

8                                       5/36   2+6,3+5,4+4,6+2,5+3=>5

9                                       4/36   3+6,4+5,5+4,6+3=>4

10                                     3/36   4+6,5+5,6+4=>3

11                                     2/36   5+6,6+5=> 2 events

12                                     1/36   6+6=> 1 event

The table and remark are correct.
Therefore, Ritu observes the above table and remarks that it is correct is a true statement.
Hence the correct option is 1.
 
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