You randomly guess the answers on a multiple choice test each question has three choices what is the probability that you will guess the correct answer

Respuesta :

Answer:

If the question is single answer correct then the answer is [tex]\frac{1}{3}[/tex] and if it's multiple options correct than the answer is [tex]\frac{1}{7}[/tex]

Step-by-step explanation:

There is a little ambiguity in the question, that whether one answer is correct or multiple options are correct, but let;s deal with both the cases.

Probability = [tex]\frac{TotalNo.OfFavourableOutcomes}{TotalOfNoOfOutcomes}[/tex]

Probability when one option is right=[tex]\frac{1}{3}[/tex]

If this is a question , where multiple options are right then the total no. of cases for it will be = TTT, TFF, FTF, FFT, TTF, TFT, FTT  (FFF is not a valid case, because the question has to have at least one valid answer.)

Probability when more than one option can be right=[tex]\frac{1}{7}[/tex]

RELAXING NOICE
Relax