Answer:
Probability of the batch being sent back for refill is 0.0897
Explanation:
The probability of the batch being sent back for refill is equal to the probability of selecting two or more under filled jars out of the six jars selected.
First, we can find the probability of selecting one under filled jar out of the six jars selected:
P(selecting one under filled jar) = (5/15) * (10/14) * (9/13) * (8/12) * (7/11) * (6/10) = 0.0768
Then, we can find the probability of selecting two under filled jars out of the six jars selected:
P(selecting two under filled jars) = (5/15) * (4/14) * (10/13) * (9/12) * (8/11) * (7/10) = 0.0129
Finally, we can add these probabilities together to find the probability of selecting two or more under filled jars:
P(selecting two or more under filled jars) = P(selecting one under filled jar) + P(selecting two under filled jars)
P(selecting two or more under filled jars) = 0.0768 + 0.0129 = 0.0897
Therefore, the probability of the batch being sent back for refill is 0.0897 or approximately 8.97%.