Two dance teams, the roses and the tulips, are perfectly matched so that their chances of winning are both set at 50%. what is the probability that the roses will win the next 3 out of 4 games? round the answer to the nearest whole percent. (no decimals)

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 and looses with probability  Let be probability that Roses win and  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,

Step 3

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

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%.

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation: