## ________________

With the French Open about to begin, it’s time for another tennis puzzle.

## ________________

### A Golden Set

A golden set in tennis occurs when one player wins all 24 points of a set. In the French Open, women play the best two of three sets.

*What is the probability of a golden set somewhere in a specified women’s match if each point is determined by flipping a coin?*

### Combining Rule

In the set of numbers below, 72 and 99 are “combined” to produce 27. Then 27 and 45 are “combined” to produce 18 and so on. The final 7 is not a misprint.

99 45 39 36 28 21

72 27 18 21 x 13 7

*What is x?*

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## Solutions to week 141

The solution to Sudoku Variant is shown below. In Making 8 and 16, 8 = 4^{.7 + .8} and 16 = (.7 – .2)^{-4}

**Making 8 and 16 answer explained:**

8 = 4^{.7 + .8} = 4^{1.5} = (2^{2})^{1.5} = 2^{3} = 8

16 = (.7 – .2)^{-4} = .5^{-4} = 1/.5^{4} = 2^{4} = 16

## Recent Weeks

**Week 141**: Sudoku Variant & Making 8 and 16, solutions to Nick’s Birthday & Burning Ropes

**Week 140**: Nick’s Birthday & Burning Ropes, solutions to Pondering Productivity & Cornfield Planning

**Week 139**: Pondering Productivity & Cornfield Planning, solutions to Close to a Quart & Math Party

**Week 138**: Close to a Quart & Math Party, solutions to Room for One More & End Points

**Week 137**: Room for One More & End Points, solutions to Sevens and Elevens & Three-Digit Squares

Links to all of the puzzles and solutions are on the Complete Varsity Math page.

**Come back next week** for answers and more puzzles.