Given: sin(x-y) -) 2 1. = cos( 17 - (x - 1) 2. = cos(I – (x+y] ( 1 / ] 3. = cos(( 1 - x)+Y [1 V 4. = cos(1 - x)-(-1] [- 5. = cos
(1 - x) cos(-ų)+ sin(5 - x) sin (-1) ( Choose a justification for each step in the derivation of the sine difference identity. Step 1: Step 2: Distributive property Step 3: Associative property Step 4: Factoring out-1 Step 5: Step 6: Step 7: TT 6. = sin(x)cos(-y) + cos(x)(sin(-y) 7. = sin(x)cosy) - cos(x)sin (y)
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<u>Answer-</u>
<em>The probability of winning on the first roll is </em><em>0.22</em>
<u>Solution-</u>
As in the game of casino, two dice are rolled simultaneously.
So the sample space would be,
Let E be the event such that the sum of two numbers are 7, so
E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}
Let F be the event such that the sum of two numbers are 11, so
F = {(6,5), (5,6)}
Now,