Suppose george wins 34% of all chess games. (a) what is the probability that george wins two chess games in a row? (b) what is the probability that george wins three chess games in a row? (c) when events are independent, their complements are independent as well. use this result to determine the probability that george wins three chess games in a row, but does not win four in a row.

a) There is a 11.56% probability that George wins two chess games in a row.

b) There is a 3.93% probability that George wins three chess games in a row.

c) There is a 2.6% probability that George wins three chess games in a row, but does not win four in a row.

Step-by-step explanation:

For each chess game that George plays, there is a 34% probability that he wins and a 100-34 = 66% probability that he loses.

(a) What is the probability that George wins two chess games in a row?

The are two games:

G1-G2

We want the following set of results:

W-W

A W has 34% probability.

So

There is a 11.56% probability that George wins two chess games in a row.

(b) What is the probability that George wins three chess games in a row?

The are three games:

G1-G2-G3

We want the following set of results:

W-W-W

A W has 34% probability.

So

There is a 3.93% probability that George wins three chess games in a row.

(c) When events are independent, their complements are independent as well. Use this result to determine the probability that George wins three chess games in a row, but does not win four in a row.

The are four games:

G1-G2-G3-G4

We want the following set of results:

W-W-W-L

A W has 34% probability. A L has 66% probability

So

There is a 2.6% probability that George wins three chess games in a row, but does not win four in a row.

c

step-by-step explanation:

it isn't d, because the interquartile range is from 27-57. and the interquartile range is basically half the data, it's pretty obvious.

it isn't b, because like i said earlier, the interquartile range is from 27-57. 57-27 is 30. the real range has to be longer

not a either. although it looks like it, 3/4 of the data is not greater than 27. but if c is wrong than this should be correct

the correct answer is c, because 13 is the point in which the plot starts

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d