An experiment consists of 8 independent trials where the pro

An experiment consists of 8 independent

trials where the probability of success on

each trial is 3/8 . Find the probability of

obtaining the following. Round answers to

the nearest ten-thousandth. Question: at most 1 success

Solution

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Given that there are 8 independent trials in an experiment.

Probability of Success = 3/8

Probability of failure = 1- 3/8 = 5/8

Probability of atmost 1 successful trial = Probability of no successful trial + probability of 1 successful trial

                                                             = (5/8)^8                                        + 8 * (3/8)(5/8)^7

                                                                (All trials fail )                                 ( 1trial succeed and rest all trial fail, but

                                                                                                                seccessful trial can be first one ,second one

                                                                                                                 etc .....8 possible ways)

                                                       = 0.1350

                                                        Solution