An urn contains five balls, one marked win and four marked lose. you and another player take turns selecting a ball at random from the urn, one at a time. the first person to select the win ball is the winner. if you draw first, find the probability that you will win if the sampling is done (enter your answer in fractions, e. g 1/2) with replacement.

The probability that you will win if the sampling is done with replacement is

Step-by-step explanation:

If you draw first, you will win if the WIN ball is selected in an odd-turn: 1st, 3rd or 5th.

The probability of getting WIN in the first draw is

that is the probability of getting one specific ball (the WIN one) in the group of five balls.

The probability of getting WIN in the 3rd row, implies that in the first two draws the balls were LOSE:

The probability of getting WIN in the 5th row, implies that in the first four draws the balls were LOSE:

The probability that you will win if you draw first is then:

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week