SOLUTION: The probability of A’s winning a game of chess against B is 1/3. What is the probability that A will win at least two of a total of 3 games?

Question 1143766: The probability of A’s winning a game of chess against B is 1/3. What is the probability that A will win at least two of a total of 3 games?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Use the Binomial Probability formula,
:
Probability(P) (k successes in n trials) nCk * p^(k) * (1-p)^(n-k), where nCk = n!/(k! * (n-k)!)
:
P(A will win at least 2 of 3 games) = P(k = 2 in 3 trials) + P(k = 3 in 3 trials) =
:
0.218 + 0.036 = 0.254 is approximately 0.25
:
****************************************************
Probability A will win at least 2 of 3 games is 0.25
****************************************************
:

RELATED QUESTIONS
in a chess tournament your probability of winning a game is 0.3 against 50%of the... (answered by ikleyn)

Each time Astrid plays a game of chess against her computer, she will win or draw or... (answered by richwmiller)

the odds against a canidate winning an electionare given at 1 to 4. A) what are the... (answered by Mathtut)

The odds against a candidate winning an election are given at 1 to 4. a. what are the... (answered by sudhanshu_kmr)

the odds against winning a game are 8:3 what is the probability of winning the... (answered by jim_thompson5910)

When admitted to the Chess club, Tomas has to play three games with club members A, B,... (answered by asinus)

Suppose that two teams, A and B, play each other five times over a season (not best of... (answered by Boreal)

Johanna is expecting to win 1 million dollars in a certain game. The probability of... (answered by greenestamps)