- #1
phya2020a
- 3
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Hi math gurus .
I have probability modeling question.
There are 5 coins A, B, C, D,E,F . Each coin has 2 outcomes on flipping Head (H) or Tail (T). For each coin type there is a different score associated with H or T outcome. The cumulative sum of score will be recorded for the number of flips performed for each coin type.
Trial X :
Coin type ...If H, Score....If T, Score...# of flips
A......110...... -70.....14
B......87......-62......9
C......90......-70......8
D......100......-70.....8
E......94......-62......4
Example :
So if A is flipped and outcome is H then score will be 110 and if outcome is T , the score will be -70. For H, T , H, H, T outcomes the score will be 110-70+110+110-70 = 190
For Trial X
Score A ( 14 flips)=190, Score B( 9 flips)= -25, Score C( 8 flips)= -140, Score D( 8 flips)= -110, Score E ( 4 flips)= 32
Total score for trial X = -53
Ques 1. What will be the probability of 'Total score for trial X ' be negative ?
Ques 2. If 20 iterations of trial X are performed then what will be the probability of sum of 'Total score for trial X ' for 20 iterations be negative ?
Example:
Iteration 1 : Total score for trial X = -53
Iteration 2 : Total score for trial X= 150
Iteration 3 : Total score for trial X = 50
...and so on
Sum ( Iteration 1 through Iteration 20) = 1200 { positive in this case}
I have probability modeling question.
There are 5 coins A, B, C, D,E,F . Each coin has 2 outcomes on flipping Head (H) or Tail (T). For each coin type there is a different score associated with H or T outcome. The cumulative sum of score will be recorded for the number of flips performed for each coin type.
Trial X :
Coin type ...If H, Score....If T, Score...# of flips
A......110...... -70.....14
B......87......-62......9
C......90......-70......8
D......100......-70.....8
E......94......-62......4
Example :
So if A is flipped and outcome is H then score will be 110 and if outcome is T , the score will be -70. For H, T , H, H, T outcomes the score will be 110-70+110+110-70 = 190
For Trial X
Score A ( 14 flips)=190, Score B( 9 flips)= -25, Score C( 8 flips)= -140, Score D( 8 flips)= -110, Score E ( 4 flips)= 32
Total score for trial X = -53
Ques 1. What will be the probability of 'Total score for trial X ' be negative ?
Ques 2. If 20 iterations of trial X are performed then what will be the probability of sum of 'Total score for trial X ' for 20 iterations be negative ?
Example:
Iteration 1 : Total score for trial X = -53
Iteration 2 : Total score for trial X= 150
Iteration 3 : Total score for trial X = 50
...and so on
Sum ( Iteration 1 through Iteration 20) = 1200 { positive in this case}