# New Tire Probability

You buy 4 new tires. Each tire has a 0.9 probability of having a life of at least 60,000 miles.

a) Find the probability you WILL NOT have to buy a new tire BEFORE you drive 60,000 miles.

b) Find the probability you WILL have to replace all 4 tires BEFORE you drive 60,000 miles.

c) Find the probability you will have to replace 2 of the 4 tires BEFORE you drive 60,000 miles.

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...d.

<br>Thus the probabilty=0.9*0.9*0.9*0.9=0.6561=65.61%

<br>(b) The probability you WILL have to replace all 4 tires BEFORE you drive 60,000 miles means all the 4 tires are bad.

<br>Thus the ...