A and B having equal skill, are playing a game of best of 5 points. After A has won two points and B has won one point, the probability that A will win the game is:
A and B having equal skill, are playing a game of best of 5 points. After A has won two points and B has won one point, the probability that A will win the game is:
The correct option is C 3/4
Let us say that each box corresponds to a point in the game:first box to first point, 2nd box to
second point. And so on.
Now, let us assume that the first two points were won by A and the third by B. The other orders
does not matter because we are considering only the number of wins to decide who won, not
the order
Case I: When A gets the fourth point,
There are two possibilities for 5th point, either A or B gets it
- A wins
- B wins
Case 2: when B gets the fourth point, there are two possibilities for the 5th point, either A or B
gets it
- A wins
- B wins
Total number of possible outcomes = 4 (case 1+ case 2)
Number of outcomes where A wins = 2+1 [2 in case 1+1 in case 2] =3
∴ Probability =34
3/4
Let us say that each box corresponds to a point in the game:first box to first point, 2nd box to
second point. And so on.
Now, let us assume that the first two points were won by A and the third by B. The other orders
does not matter because we are considering only the number of wins to decide who won, not
the order
Case I: When A gets the fourth point,
There are two possibilities for 5th point, either A or B gets it
- A wins
- B wins
Case 2: when B gets the fourth point, there are two possibilities for the 5th point, either A or B
gets it
- A wins
- B wins
Total number of possible outcomes = 4 (case 1+ case 2)
Number of outcomes where A wins = 2+1 [2 in case 1+1 in case 2] =3
∴ Probability =34
