Total number of marbles = 10
Number of red marbles = 4
Number of blue marbles = 6
Probability =
The probability that the first marble is blue =
The probability that the first marble is red = ; 9 because 1 marble has already been taken out.
Joint probability= probability of event A * Probability of event B
= =
So before we can find the perimeter, we need to find the hypotenuse. Since this is a right triangle, we can use the pythagorean theorem. The equation for that is , in which a and b are the legs of the triangle and c is the hypotenuse.
With this info, we can form our equation:
Firstly, solve the exponents:
Next, combine everything on the left side:
Next, square root both sides, and your hypotenuse will be 15 = c.
Now that we have all the triangle side lengths, just add everything up:
In short, the perimeter is 36 inches.