Question

Question 1

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John makes random guesses on his multiple-choice test, which has five options for each question. Let the random variable X be the number of guesses taken before guessing correctly.

Assuming the guesses are independent, find the probability that he doesn't guess correctly until his 6th guess.

0.0655

0.0789

0.3521

0.3277

Question 2

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For a math assignment, Jane has to roll a set of six standard dice and record the results of each trial. She wonders how many different outcomes are possible after rolling all six dice.

What is the total number of possible outcomes for each trial?

7,776

46,656

216

36

Sadie is selecting two pieces of paper at random from the stack of colored paper in her closet. The stack contains several sheets of each of the standard colors- red, orange, yellow, green, blue, and violet.

All of the following are possible outcomes for Sadie's selection, EXCEPT:

Green, violet

Blue, black

Orange, yellow

Red, red

Answer 1

Here we are given that john makes each X = no. of failure so we are he guess correctly in 6^th guess so we will apply Neg. binomial here with r = 1 so geometric dis

John roll a set of 6 standard dice and record result of each trial so we are to find number of outcomes in each trial, so we know die has 6 face so outcomes

Here we are given dice electing two pieces of paper at random and stock has color red, orange , yellow green, blue , violet

So we are to find which is not possible outcome

Option c Blue, black as black color sheet