Answer :
As each trial has a 0.375 probability, the probability for three successes is 0.05273 and for six successes is 0.00278.
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, if we are unclear of how an event will turn out. Statistics is the study of occurrences subject to probability. The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the probability of a given event by the probability that it won't. By dividing the number of preferable outcomes by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained.
Here,
The probability of success in each trial=3/8
For 3 success,
P(3)=(3/8)³
=0.05273
For 6 success,
P(6)=(3/8)⁶
=0.00278
The probability for 3 success is 0.05273 and for 6 success is 0.00278 as for each trial, the probability is 0.375.
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