Wednesday

October 1, 2014

October 1, 2014

Posted by **andrew** on Friday, November 3, 2006 at 9:54am.

For the bike to work at all, at least 1 front wheel and 1 back wheel must be operational.

All 4 tires are the same and each, individually, has probability 'p' of failing.

What is the probability that I will have a working bike? (meaning, that at least 1 tire is working up front, and at least 1 is working in the back).

When you want to know the probability that more than one probability will occur, you

Thus you would use the following formula:

1 - (pF1 + pF2)(pR1 + pR2), where pF1 is the probability for one front tire failing.

However, since the probability is the same for each tire, the formula would be:

1 - (p + p)(p + p) = 1 - (2p)(2p) = 1 - 4p

I hope this helps. Thanks for asking.

Pardon my typo.

1 - (2p)(2p) = 1 - 4p

That is p squared.

Sorry for the omission.

**Answer this Question**

**Related Questions**

physics - A bicycle has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long...

Math - If you are riding a bike and your front sprocket (the one with the pedals...

Math - The wheels of a bicycle have a 24 inch diameter. When the bike is being ...

Geometry - The wheels on Jay's bike each have a 20 inch diameter. His sister's ...

Math - The bike slots in the bike rack are filled. Don's bike is in the middle. ...

6th grade - Say you are at a bike shop. They sell tricycles, bicycles and ...

Math - The bike slots in the bike rack are filled. Don's bike is in the middle. ...

precalc - a 21-speed bike has varying top speeds dependent on the gear it's in. ...

precalc - a 21-speed bike has varying top speeds dependent on the gear it's in. ...

english - Do you know when to ride a bike? Do you know when you should ride a ...