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Lyrx [107]
3 years ago
10

Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t

he probability that the Roses will win the next 3 out of 4 games? Round the answer to the nearest whole percent. (No decimals)
Mathematics
1 answer:
shtirl [24]3 years ago
3 0

Answer:

6%

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability \frac{1}{2} and looses with probability \frac{1}{2}.  Let P(W_R) be probability that Roses win and P(L_R)  be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is  done as shown below,

\frac{1}{16} \times 100\%=6.25\%.

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.


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\large\boxed{15, 16}

Step-by-step explanation:

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\large\boxed{15, 16}

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