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?

Answer 1

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!!!