Question

The probability of guessing the correct answer to a certain
question is x/y. If the probability of not guessing the
correct answer to this question is 2/3, then find y​

Answer 1

Answer:

y= 3

Step-by-step explanation:

probability of not guessing correct answer = 2/3

So, Probability of guessing correct answer = x/y = 1- 2/3 = 1/3

Therefore, y = 3

Answer 2

Answer:

The value of y is 3.

Step-by-step explanation:

Probability of an event:-

• The probability of an event refers to the event that will surely occur.

• Mathematically, the probability of an event that will occur lies between 0 and 1.

Step 1 of 1

The probability of guessing the correct answer to a certain question is x/y

⇒ P(C) = x/y

where C denotes the correct answer.

The probability of not guessing the correct answer to a certain question

is 2/3

⇒ P(not C) = 2/3

As we know,

P(C) + P(not C) = 1

Substitute the values of P(C) and P(not C) as follows:

⇒ $\frac{x}{y} +\frac{2}{3}=1$

Simplify as follows:

⇒ $\frac{x}{y} =1-\frac{2}{3}$

⇒ $\frac{x}{y} =\frac{3-2}{3}$

⇒ $\frac{x}{y} = \frac{1}{3}$

Compare both the sides, we get

x = 1 and y = 3

Therefore, the value of y is 3.

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