Rice statistician available to discuss today’s Powerball drawing

EXPERT ALERT

David Ruth
713-348-6327
david@rice.edu

Rice statistician available to discuss today’s Powerball drawing 

HOUSTON – (Jan. 13, 2016) – Philip Ernst, assistant professor of statistics at Rice University, is available to comment on tonight’s $1.5 billion Powerball drawing.

The current odds of winning the jackpot are 1 in 292,201,338. What is the math behind it?

“The game has five white balls labeled from 1 to 69 and one red ball labeled from 1 to 26,” Ernst explained. “By the counting rule from elementary probability theory, this gives (69 times 68 times 67 times 66 times 65 times 26) equals 35,064,160,560 — or about 35 billion — possibilities for the exact sequence of numbers to be drawn for the jackpot.”

“However, since a winning ticket can have the white numbers listed in any order, one needs to divide this number by 5 factorial (120), and thus 35,064,160,560 divided by 120 equals 292,201,338 (or about 292 million). This is how they get the number on their website, although it would be nice — at least for us statisticians! — if people understood the calculation.”

Why not buy all the combinations to guarantee a jackpot winner?

If one person bought all 292,201,338 possible tickets, that person would be guaranteed of winning the jackpot,” Ernst said. “However, since each ticket costs $2, this strategy would cost someone $584,402,676. The cash value of today’s jackpot (if one chooses the lump sum) is  $930 million. If you are taxed on the winnings at 50 percent, you would end up with $465 million, meaning you’d end up losing a whopping $119,402,676. You would lose much more if another person also has a winning ticket and the prize is split!”

According to Ernst, you are more likely to:

Be struck by lightning than to win the jackpot. According to the National Weather Service, the likelihood of being hit by lightning is 1 in 1,190,000 — or about 245 times more likely than winning the jackpot.

Die in a plane crash than to win the jackpot. A person’s chances of dying in a plane crash are reported to be 1 in 11 million — or about 26 times as likely as winning the jackpot.

If no one wins the jackpot tonight, the next drawing will balloon to more than $2 billion.

To schedule an interview with Ernst, contact David Ruth, director of national and broadcast media at Rice, at david@rice.edu or 713-348-6327.

Rice University has a VideoLink ReadyCam TV interview studio. ReadyCam is capable of transmitting broadcast-quality standard-definition and high-definition video directly to all news media organizations around the world 24/7.

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Located on a 300-acre forested campus in Houston, Rice University is consistently ranked among the nation’s top 20 universities by U.S. News & World Report. Rice has highly respected schools of Architecture, Business, Continuing Studies, Engineering, Humanities, Music, Natural Sciences and Social Sciences and is home to the Baker Institute for Public Policy. With 3,910 undergraduates and 2,809 graduate students, Rice’s undergraduate student-to-faculty ratio is 6-to-1. Its residential college system builds close-knit communities and lifelong friendships, just one reason why Rice is ranked No. 1 for best quality of life and for lots of race/class interaction by the Princeton Review. Rice is also rated as a best value among private universities by Kiplinger’s Personal Finance. To read “What they’re saying about Rice,” go to http://tinyurl.com/AboutRiceU

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About David Ruth

David Ruth is director of national media relations in Rice University's Office of Public Affairs.