Richard has just been given a 4-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all four questions, find the indicated probabilities. (Round your answers to three decimal places.)

Answer: The probability of getting all the questions correct is 1/625 Which is 0.002

Explanation: probability is the possible chance of an event to occur. If Richard has a question the has five options

The probability of Richard to get 1 question correct is

1/5 = 0.2

since 1 option is correct among 5 options given.

Because the answer to each question is independent from the outer question, if he answers the 4 question that means the probability of getting the four question correct will be;

1/5 * 1/5 * 1/5 * 1/5 = 1/625 = 0.0016

To three decimal

0.002