A multiple-choice test has five questions, each with five choices for the answer. only one of the choices is correct. you randomly guess the answer to each question. what is the probability that you answer the first two questions correctly?

The probability that you answer the first two questions correctly is

It is given that a multiple-choice test has five questions, each with five choices for the answer and only one of the choices is correct.

So as there are five choices in each questions and one of the options is correct.

Therefore,

The probability that we answer the first question correctly=correct option/Total number of options

=

The probability that we will answer the second question correctly=correct option/Total number of options

=.

The probability that will answer both questions correctly

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The probability is 1/5 you will answer the first question correctly.

The probability is 1/5 you will answer the second question correctly.

The probability you will answer both correctly is (1/5)·(1/5) = 1/25.

the radius is 2 times the diameter.

step-by-step explanation:

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches