Question

4. Following are the scores of a batsman in 6 overs of a cricket match.
0 ,6 ,4 ,1 ,0
2 ,2 ,0 ,0 ,1
2 ,2, 6, 0, 6
0 ,1 ,2,4,2 ,1 ,0
,1,0, 0 ,6 ,4 ,1 ,2
i. Represent the data in a frequency distribution table using tally marks.
ii. How many fours did the batsman hit? iii. How many sixes did he hit?
iv. Find the number of dot balls.
v. What was the batsman's total score?
4​

Answer 1

Score =0,1,2,3,4 or 6 from a ball

Number of different sequences in which he can score exactly +30 runs in an over of 6 balls is

Possibilities Permutations

6,6,6,6,6,0

5!

6!

=6

6,6,6,6,4,2

4!

6!

=30

6,6,6,6,3,3

4!2!

6!

=15

6,6,6,4,4,4

3!3!

6!

=20

Total ways =6+30+15+20

=71

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