if it rains tomorrow, the probability is 0.8 that john will practice the piano. if it does not rain tomorrow, there is only a .4
chance that john will practice. if there is a 60% that it will rain tomorrow, what is the probability that John will practice his piano lesson? i'm supposed to use a tree diagram to solve this ...?
P(J / R) = P (J and R) / P(R) <span>0.8 = P (J and R) / 0.6 </span> <span>P (J and R) = 0.6 * 0.8 = 0.48 [Probability John practicing and it is raining] </span>
<span>P(J / NR) = P (J and NR) / P(NR) </span> <span>0.4 = P (J and NR) / (1 - 0.6) = P (J and NR) / 0.4 </span> <span>P (J and NR) = 0.4 * 0.4 = 0.16 [Probability John practicing and it is not raining] </span>
<span>Hence; </span> <span>Propability of John practicing regardless of weather condition is </span>
Irrational numbers are "not closed" under addition, subtraction, multiplication or division. The numbers that are in the set of Complex Numbers, but are not in the set of Real Numbers .the imaginary number, i, which is the square root of negative one.
if we take the total cost of the grapes, and divide by the number of pounds of grapes we can conclude that each pound of grapes costs $3. so 5 pounds of grapes multiplied by $3 per pound, gives us $15 for 5 pounds of grapes.