In order to qualify for the next round, soccer team has to get at leas

wurmiana6d

wurmiana6d

Answered question

2021-11-13

In order to qualify for the next round, soccer team has to get at least 4 points in the next 2 games. General rules: 3 points for victory, 1 point for draw, and 0 points for loss. Probability of a team losing = probability of team winning =0.3. Find the probability that soccer team will qualify for the next round.

Answer & Explanation

George Blue

George Blue

Beginner2021-11-14Added 18 answers

Given data,
The requirement of points for qualify in the next round is 4 points.
Points on victory is 3
Points on losing the game is 0
Points on draw the game is 1.
Step 1
Here, the probability of winning the game is 0.3
The probability of losing the game is 0.3.
The probability of draw of game is,
=1P(Win)P(loss)
=10.30.3
=0.4
On playing two games,
The probability of winning is 12.
The probability of drawing is 14.
The probability of losing is 12.
Step 2
Required probability is,
P=12×0.3+14×0.4+14×0.4
=320+440+440
=1440
Probability of qualifying is 1440.

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