Sir one small suggestion instead of focusing on P(A) let's concentrate on P(A bar ) , which is equal to 25/36. By looking at this, we can observe that (5/6)) square is the same as (60 - a)^2 / 60^2 . From this, we can directly conclude that a is 10 ( we can observe both lhs and RHS are squared numbers so easy to simplify) But your answering method is amazing
Respected sir if you take the triangle from the top-left corner and move it to the bottom-right corner, you'll end up forming a square area between the smaller square and the larger square. This area is the one we are looking for. We can think of this as the complement of the smaller square's area. The area of the smaller square is \( (60 - a)^2 \). The probability is then the ratio of this area to the area of the larger square, which is \( 60-asqaure divided by 60^2). This gives us the equation 60 - a square divided by 60 square is equal to 5 / 6 square From here, we can solve and find that the value of a is 10
Great question Sir, subscribed
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Sir one small suggestion instead of focusing on P(A) let's concentrate on P(A bar ) , which is equal to 25/36. By looking at this, we can observe that (5/6)) square
is the same as (60 - a)^2 / 60^2 . From this, we can directly conclude that a is 10 ( we can observe both lhs and RHS are squared numbers so easy to simplify)
But your answering method is amazing
Yes! It can be done that way also After plotting the lines and square
Sir this concept is not given in cengage😢😢😢. What should I do sir now
You can understand it through this question
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Respected sir if you take the triangle from the top-left corner and move it to the bottom-right corner, you'll end up forming a square area between the smaller square and the larger square. This area is the one we are looking for. We can think of this as the complement of the smaller square's area.
The area of the smaller square is \( (60 - a)^2 \). The probability is then the ratio of this area to the area of the larger square, which is \( 60-asqaure divided by 60^2). This gives us the equation 60 - a square divided by 60 square is equal to 5 / 6 square
From here, we can solve and find that the value of a is 10