Richard has just been given a 10-question multiple-choice quiz in his history class. Each question has four 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 ten questions, find the indicated probabilities. (Round your answers to three decimal places.)

Step-by-step explanation:

To find the probability that he answered all correctly

let n be the number of questions correctly answered

prob of correct 1/4 = 0.25

prob of answering all correctly:

p(n=10): 0.25∧10 = 0.000000953

prob of wrong  3/4 = 0.75

Prob that he will fail the 10:

prob(n=0): 0.75∧10 =0.0563

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)