This Question: 1 pt 4 of 4 (3 complete) This Quiz: 4 pts possibl -Question Help

Question

This Question: 1 pt 4 of 4 (3 complete) This Quiz: 4 pts possibl -Question Help * You are playing a game in which the number of spaces you move is determined by the rolling o a die. You mus land exactly ?? the final space in order to win. you ot are 10 spaces away, how many tums might it take you to win? Perform 10 trials using the random numbers beldw. Let 1-6 be the same value on the die. Skip values o and 7-9. mit 37505222833238144437319526911468628109432549308922607471333769303746541 45604791308601729208902418 on average, it might take you?turns to win. (Simplify your answer. Type an integer or decimal rounded to one decimal place as needed.) atl st u fx

Explanation / Answer

the possible 10 turns using the given random numbers in order to complete 10 spaces( each random number corresponds to the value of sapce covered ) are :

(5,5)

(2,2,3,3)

(2,4,4)

(4,3,3)

(6,4)

(2,1,4,3)

(2,5,3)

(2,2,6)

(1,3,3,3)

(3,3,4)

(cosidering drawing first random number from the left to the right and proceeding row wise)

hence from this 10 trials on average ,it might take

[(2+4+3+3+2+4+3+3+4+3)/10]=3.1=3 turns (approx) to win

[ to get this average add the number of steps in each possible turn {for example there are 4 steps in the possible turn (2,2,3,3)} and divide the sum by 10]

Dear student you can draw any random number as starting point and you may get the answer a bit different form 3.

for example starting from the 10th random number you may get the possible turns as :

(3,3,4)

(3,7)

(1,5,2,1,1)

(4,6)

(6,4)

(3,2,5)

(2,2,6)

(1,3,3,3)

(5,4,1)

(4,5,1)

here also average turn =30/10 =3

Dear student hope I am able to give you clear explanation.If you like my answer please rate it. Thank you !!

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