Question

6.) The probability of guessing the correct
answer to certain test question is x/2
. If the probability of not guessing the correct answer to this question is
2/3, then find the value of x.​

Answer 1

Sum of both probabilities should be 1 then

x/2 + 2/3 =1

3x+4=6

3x=2

x= 2/3

Answer 2

Answer:

Given that the guessing the correct answer to a certain test question is x / 2 and of not guessing the correct answer is 2 / 3.

We know that, The sum of the probabilities of favourable and unfavourable outcomes of an event is 1.

Here, The probability of favourable outcome is x / 2 and the probability of unfavourable outcome is 2/3.

So,

⇒ x/2 + 2/3 = 1

⇒ x/2 = 1 - 2/3

⇒ x/2 = (3 - 2) / 3

⇒ x/2 = 1/3

⇒ x = 2/3

Hence, The value of x is 2/3.

For Extra Information,

▶ The probability of guessing the correct answer to the given question is 1/3.