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?

Respuesta :

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 probability that you answer the first two questions​ correctly is [tex]\frac{1}{25}[/tex]

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

=[tex]\frac{1}{5}[/tex]

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

=[tex]\frac{1}{5}[/tex].

The probability that will answer both questions correctly

[tex]=\frac{1}{5}.\frac{1}{5} \\=\frac{1}{25}[/tex]

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