(Will mark brainest)If it rains tomorrow the probability is 0.6 that James will practice piano. if it doesn’t rain tomorrow there is a 0.4 c

Question

(Will mark brainest)If it rains tomorrow the probability is 0.6 that James will practice piano. if it doesn’t rain tomorrow there is a 0.4 chance that john will practice. Suppose the chance of rain tomorrow is 60%. What is the probability that Jamed will practice his piano?

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Samantha 2 weeks 2021-10-01T12:34:04+00:00 1 Answer 0

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    2021-10-01T12:35:59+00:00

    Answer:

    0.64

    Step-by-step explanation:

    P(J / R) = P (J and R) / P(R) 

    0.8 = P (J and R) / 0.6 

    P (J and R) = 0.6 * 0.8 = 0.48 [Probability John practicing and it is raining] 

    P(J / NR) = P (J and NR) / P(NR) 

    0.4 = P (J and NR) / (1 – 0.6) = P (J and NR) / 0.4 

    P (J and NR) = 0.4 * 0.4 = 0.16 [Probability John practicing and it is not raining] 

    Hence; 

    Probability of John practicing regardless of weather condition is 

    P(John Practicing) = 0.48 + 0.16 = 0.64

    HOPE THIS HELPED!!!

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