Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determine the likel

Question

Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks, as shown. Heads up (H) represents a goal. What is the probability that Isaiah will make both penalty kicks? Give the probability as a percent. Enter your answer in the box.

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Eden 1 week 2021-09-13T12:32:58+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T12:34:06+00:00

    Answer:

    The answer is 35%

    Step-by-step explanation:

    Trust me ive taken this test before.

    0
    2021-09-13T12:34:36+00:00

    Answer:

    The probability that Isaiah will make both penalty kicks is 25%.

    Step-by-step explanation:

    We are given that Isaiah scores with 50% of his penalty kicks in soccer.

    He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks.

    The above situation can be represented through binomial distribution;

    P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......

    where, n = number of trials (samples) taken = 2 penalty kicks

               r = number of success = make both penalty kicks

               p = probability of success which in our question is probability  

                     that Isaiah scores with his penalty kicks, i.e; p = 50%

    Let X = Number of penalty kicks made by Isaiah

    So, X ~ Binom(n = 2 , p = 0.50)

    Now, Probability that Isaiah will make both penalty kicks is given by = P(X = 2)

                         P(X = 2) =  \binom{2}{2} \times 0.50^{2} \times (1-0.50)^{2-2}

                                       =  1 \times 0.50^{2} \times 0.50^{0}

                                       =  0.25 or 25%

    Hence, the probability that Isaiah will make both penalty kicks is 25%.

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45:7+7-4:2-5:5*4+35:2 =? ( )