Question

Two dice one blue and one green , are thrown at the same time.. What is the
probability that the sum of the two numbers appearing on the top of the​

Answer 1

Answer:

ur Ans

_________

When we tossed a die , than total number of events ( outcomes ) = 6  , As : {  1 , 2 , 3 , 4 , 5 , 6 }

But when we tossed two dice simultaneously , than total number of events ( outcomes ) =  6 × 6 = 36  

As we can show  all the possible outcomes , As : { 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,

n ( S  ) = 36

We know that

==> probability P ( E )  =   Total number of desired events n ( E ) /Total number of events n ( S )

a) The probability that the sum of two numbers appearing on the top of the dice is  8

So,

Number of events = { 2 , 6 }, { 3 , 5 }, { 4 , 4 }, { 5 , 3 } ,{ 6 , 2 }

So,

n ( E ) =  5

The probability that the sum of two numbers appearing on the top of the dice is  8 = 5/36 Ans

____________________

b ) The probability that the sum of two numbers appearing on the top of the dice is  13

So,

Number of events = 0

Then,

n ( E ) =  0

The probability that the sum of two numbers appearing on the top of the dice is 13= 0/36= 0   Ans  

____________________          

c) The probability that the sum of two numbers appearing on the top of the dice is  less than or equal to 12

So,

Number of events = { 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,

n ( E ) =  36

The probability that the sum of two numbers appearing on the top of the dice is less than or equal to 12 = 36/36 = 1   Ans

____________________          

:-)☺✌

#mark as brainlist

Step-by-step explanation:

Answer 2

Answer:

1/6 was the probability of both dyce....

i am not sure about answer maybe its wrong..