**Question: **The batting average (BA) of a Test batsman is computed from runs scored and innings played — completed innings and incomplete innings (not out) in the following manner:

r_{1}= Number of runs scored in completed innings

n_{1}= Number of completed innings

r_{2}= Number of runs scored in incomplete innings n_{2}= Number of incomplete innings

A = \(\frac{{{{\rm{r}}_1} + {{\rm{r}}_2}}}{{{{\rm{n}}_{\rm{1}}}}}\)

To better assess a batsman’s accomplishments, the ICC is considering two other measures MBA_{1}and MBA_{2}defined as follows:

\({\rm{MB}}{{\rm{A}}_1} = \frac{{{r_1}}}{{{n_1}}} + \frac{{{n_2}}}{{n1}}\max \left[ {0,\left( {\frac{{{r_2}}}{{{n_2}}} - \frac{{{r_1}}}{{{n_1}}}} \right)} \right]\)

\({\rm{MB}}{{\rm{A}}_2} = \frac{{{r_{1 + }}{r_2}}}{{{n_1} + {n_2}}}\)

An experienced cricketer with no incomplete innings has BA of 50. The next time he bats, the innings is incomplete and he scores 45 runs. It can be inferred that

BA and MBA_{1}will both increase | |

BA will increase and MBA_{2}will decrease | |

BA will increase and not enough data is available to assess change in MBA_{1}and MBA_{2} | |

None of these |

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