Suppose % of all . (a) What is the probability that two in a row? (b) What is the probability that in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that in a row, but in a row. (a) The probability that two in a row is . 1156. (Round to four decimal places as needed.) (b) The probability that in a row is . 0393. (Round to four decimal places as needed.) (c) The probability that in a row, but in a row is

Complete Question:

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)

(b)

(c)

Step-by-step explanation:

Represent Win with W

So, we have:

Solving (a): Winning two in a row;

This is represented by WW and is calculated as thus:

Solving (b): Winning three in a row;

This is represented by WWW and is calculated as thus:

(Approximated)

Solving (c): Wins three in a row but lost the fourth

Represent Losing with L

L is calculated as:

---- Complement of probability

This probability is represented by WWWL and is calculated as thus:

(Approximated)