Cricket Team of Nepal needs to score 7 runs in last 2 balls to win the match. What is the probabilit

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22 Dec 2016 Probability

Cricket Team of Nepal needs to score 7 runs in last 2 balls to win the match. What is the probability that Nepal Team wins the match? Assume that:
- There were no wide balls or no balls bowled in these 2 balls.
- No Wicket has fallen in these 2 balls
- No Overthrows or extra runs were scored in these 2 balls
- In case if run(s)are scored on any of these 2 balls it can only be one of these values: 1, 2, 3, 4 & 6
This also implies that it’s quite possible that zero runs are scored on a particular ball

OPtion

1) 1/7
2) 1/6
3) 1/5
4) 1/4
5) 1/3
6) 2/7
7) 2/5
8) 2/3
9) 3/5
10)3/4

Solution

On any of these 2 balls the possible runs which can be scored are: 0,1,2,3,4,6
So total possible number of runs which can be scored in 2 balls are = 6C1*6C1 = 36
Let’sassume that run scored on first ball is x and 2nd ball is y
To win the match x+y>= 7. Possible pair of values of x and y are:
(x, y)
(1, 6), (6, 1), (2, 6), (6, 2), (3, 4), (4, 3), (3, 6), (6, 3), (4, 4), (4, 6), (6, 4), (6, 6)
Count of set of values for Nepal to win the match = 12
Probability = Positive outcome/Total Possible Outcomes = 12/36 = 1/3

Correct Option: 5 Best Solution (7)

Siva   8 years AGO

Total possibilities36, required events 12, probability= 12/36=1/3

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SATHEESH V   8 years AGO

(6,1),(6,2),(6,3),(6,4),(6,6).......5
(4,3),(4,4),(4,6)........3
(3,4),(3,6).....2
(2,6).....1
(1,6).....1

total=5+3+2+1+1=12

probability=12/36=1/3

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Rumitra Lahiri   8 years AGO

(4,3)(6,1)(6,2),(6,3,)(6,4) probability of winning for Nepal
now, total way the run can be happen=(1,0),(1,1),(1,2),(1,3),(1,4),(1,6),(2,0)(2,2),(2,3),(2,4),(2,6),(3,0),(3,3),(3,4),(3,6),(0,4),(4,4),(4,6),(0,6),(0,0)
total in 20 way
so probability of win will be=5/20=1/4

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Pabitra Paul   8 years AGO

sample space are (1,6) (6,1) (4,3) (3,4) (2,6) (6,2) (3,6) (6,3) (4,6)(6,4) (4,4) (6,6)
total sample space P(S)= 36
now the run would be score in two balls so probability will be 12/36= 1/3

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Mukund Manohar   8 years AGO

Required Probability = Positive Outcome/Total Possible Outcome
= 12/36
=1/3

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abhishek   8 years AGO

total number of cases to make runs in 2 balls are 36 i.e.

00 10 20 30 40 60
01 11 21 31 41 61
02 12 22 32 42 62
03 13 23 33 43 63
04 14 24 34 44 64
06 16 26 36 46 66

now total number of cases where sum of run is 7 or more are 12.
Therefore Probability of winning the match is 12/36...i.e.
1/3. option 5)

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REVATHI   8 years AGO

2balls
if 1st ball is either 6 or 1
if 2nd ball is either 6 or 1.
so 2/6=1/3.

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