what are the odds?

There is a game called odd-eve / hand-cricket in which we use our hands to get 1, 2, 3, 4, 5, 6 (thumb) or 10 (fist) pooints. The batsman uses these symbols to get the respective points, whereas the bowler also uses the same symbols, but to defeat the batsman. When both the players use the same symbol, the batsman is defeated, and they reverse their positions.

If they use these symbols randomly, what is the expected score of the batsman?

#Combinatorics #Probability

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$