The Motor Vehicle Department has found that the probability of a person passing the test for a​ driver's license on the first try is 0.76. The probability that an individual who fails on the first test will pass on the second try is 0.83. Find the probability that an individual fails both the first and second tests.



Answer :

Probability that a person will not pass on first try is [tex]1-0,76=0,24[/tex]. Also, a probability that the a person will fail again on second attempt is [tex]1-0,83=0,17[/tex].

So the probability that a person will fail twice is [tex]0,24\cdot0,17=0,0408=4,08\%[/tex]