A multiple choice test has 20 questions. Each question has five possible answers, of which one is correct. If a student guesses on every question, find the probability that the student will get exactly 12 correct. Round your answer to four decimal places.

3/25

Step-by-step explanation:

A multiple choice test has 20 questions and each question has five possible answers, of which one is correct.

Therefore, the probability of getting an answer right by guessing is:

1/5

The probability of getting 12 out of 20 correct is therefore the product of the probability of getting each question right and 12/20:

1/5 * 12/20 = 3/25

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.