An experiment consists of tossing a fair die until 2 occurs 7 times. What is the probability that the process ends after exactly ten tosses with 2 occurring on the ninth and tenth tosses? (Round your answer to four decimal places.)

0.0004

Step-by-step explanation:

A fair die has 6 faces.

The probability of obtaining a 2  

The probability of a number other than 2

The experiment consists of tossing a fair die until 2 occurs 7 times.

Therefore, the probability that the process ends after exactly ten tosses with 2 occurring on the ninth and tenth tosses

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation: