Mathematics
30.05.2023 07:46
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You play tennis against a player that you have a 20% chance of winning. what is

You play tennis against a player that you have a 20% chance of winning. what is the probability g
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amanda7771
amanda7771
4,4(96 marks)

Question:

You play tennis against a player that you have a 20% chance of winning. What is the probability that you win no game out of 6 games?

Probability = 0.262144

Step-by-step explanation:

Represent the probability of winning with P(Win)

P(Win) = 20\%

Required

Determine the probability of not winning 6 games

First, we calculate the probability of not winning a game.

Opposite probability add up to 1.

So, we have:

P(Win) + P(Lose) = 1

P(Lose) = 1 - P(Win)

P(Lose) = 1 - 20\%

P(Lose) = 100\% - 20\%

P(Lose) = 80\%

The sample space of losing 6 games is:

Lose Lose Lose Lose Lose Lose

Therefore, the probability is:

Probability = 80\% *80\% *80\% *80\% *80\% *80\%

Probability = 0.80*0.80*0.80*0.80*0.80*0.80

Probability = 0.262144

daniel1480
daniel1480
5,0(73 marks)

rotation

Step-by-step explanation:

size, shape, and angle measures are preserved but orientation is not

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