# In a cricket match an over contains six balls. In a T-20 Cricket match it was already 5 balls bowled in the last over.

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In a cricket match an over contains six balls. In a T-20 Cricket match it was already 5 balls bowled in the last over. If Sachin hits six for the last ball the mean becomes 4 runs per ball in the over. But Sachin hits four runs. Then the mean score per ball in that over is

A) 3

B) $3\frac{2}{3}$

C) 4

D) 6

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Correct option is (B) 3 2/3

Let sum of scored runs on first 5 balls in the last over is x.

After hitting 6 on last ball of the over, the mean score becomes 4 runs per ball.

$\therefore$ $\frac{x+6}6=4$

$\Rightarrow$ $\frac{x}6+1=4$

$\Rightarrow$ $\frac{x}6=4-1=3$

$\Rightarrow$ x = 6 $\times$ 3 = 18

Hence, the sum of scored runs on first 5 balls in the last over is 18.

Given that Sachin scored 4 runs on last ball.

$\therefore$ Mean $=\frac{18+4}6$

$=\frac{22}6$ $=3\frac46$

$=3\frac23$

Hence, the mean score per ball in that over is $3\frac23.$

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Correct option is  B) 3 2/3