A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago. The specifications sheet says that the chance of failure is 5% after 5 years and increases to 8% after 10 years. If the gears on the machine are in no way linked to each other, what are the chances that both will fail?

A-0.2%
B-0.9%
C-40%
D-7.5%
E-0.4%

Question

A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago. The specifications sheet says that the chance of failure is 5% after 5 years and increases to 8% after 10 years. If the gears on the machine are in no way linked to each other, what are the chances that both will fail?

A-0.2%
B-0.9%
C-40%
D-7.5%
E-0.4%

anonymous · Answer

$$.05\times .08$$ whatever that is

anonymous · Answer

it came out to 0.004...that's the same as 0.4 right

mathmale · Answer

Not quite!  The probability 0.004 does correspond to 0.4%, but not to 0.4.

anonymous · Answer

sorry I ment does it match 0.4%

anonymous · Answer

yes