The probability that Edgar rolls a 2 on the first cube and a number less than 5 on the second cube is 1/9. Thus, the correct option is C.
<h3>What is Probability?</h3>
Probability helps us to know the chances of an event occurring.
There are a total of 36 outputs possible, while the number of desired outputs marked in the blue box is 4, therefore, the probability is,
Probability = 4/36 = 1/9
Hence, the probability that Edgar rolls a 2 on the first cube and a number less than 5 on the second cube is 1/9. Thus, the correct option is C.
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Answer:
<em>The function to represent this relationship will be: 
</em>
Step-by-step explanation:
varies inversely with 
. That means......
where 
is a proportional constant.
Given that, when 
, then 
Plugging these values into the above equation, we will get.....
Now plugging this 
into equation (1).....
So, the function to represent this relationship will be:
tan²(<em>θ</em>) - sin²(<em>θ</em>) = sin²(<em>θ</em>)/cos²(<em>θ</em>) - sin²(<em>θ</em>)
-- because tan(<em>θ</em>) = sin(<em>θ</em>)/cos(<em>θ</em>) by definition of tangent --
… = sin²(<em>θ</em>) (1/cos²(<em>θ</em>) - 1)
-- we pull out the common factor of sin²(<em>θ</em>) from both terms --
… = sin²(<em>θ</em>) (1/cos²(<em>θ</em>) - cos²(<em>θ</em>)/cos²(<em>θ</em>))
-- because <em>x</em>/<em>x</em> = 1 (so long as <em>x</em> ≠ 0) --
… = sin²(<em>θ</em>) ((1 - cos²(<em>θ</em>))/cos²(<em>θ</em>))
-- we simply combine the fractions, which we can do because of the common denominator of cos²(<em>θ</em>) --
… = sin²(<em>θ</em>) (sin²(<em>θ</em>)/cos²(<em>θ</em>))
-- due to the Pythagorean identity, sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1 --
… = sin²(<em>θ</em>) tan²(<em>θ</em>)
-- again, by definition of tan(<em>θ</em>) --
