Solve these brain teasers for discounted tickets to #PTW15 Dev Day Talks

Philly Tech Week 2015 presented by Comcast is less than one month away (April 17-25)! This year we’re bringing you a new event as a part of Dev Day, an afternoon of high-level dev talks focused on problem solving and innovative solutions.
You’ll hear from over 15 dev experts talking about real-world scenarios and the emerging and exciting tools they’re using, from Clojure to Swift and beyond. The event, Dev Day Talks, takes place on Thursday, April 23 at PHMC (and is followed by a free after party).
Thanks to the folks over at Curalate (who will present at the event), we have two brain-teaser problems you can solve to receive a discounted ticket (tickets are $30).
Here’s a sampling of who you’ll hear from at Dev Day Talks:

• AngularJS Performance Tips and Tricks with Todd McNeal, Software Engineer Lead, Curalate
• The Firefox OS Email App with Andrew Sutherland, Software Engineer, Mozilla
• Coming to Clojure with Chris Merrick, VP of Engineering, RJMetrics
• Switching to Swift with Steven Byers, Senior Consultant, CapTech

See the full list of speakers
If you can solve the brain teasers correctly, the answer will work as a coupon code you can use when purchasing your ticket.
To redeem your discounted ticket to Dev Day Talks, click “Have a Discount Code?” on the Ticketleap registration page and enter the answer to the problem. If your answer is wrong, it will not accept it as a real code. Please note that you can only enter numbers or letters, no periods or dollar signs are included in the coupon code. You can also only redeem one coupon code, so you don’t get anything if you solve both problems.

Solve this for $10 off your Dev Day Talks ticket

A teacher lines up 32 students standing shoulder-to-shoulder, all facing the
same direction. This line of students is called the “Alpha” group. Next, the
teacher lines up 32 more students, called the “Beta” group, with all of them
facing the Alpha group and standing shoulder-to-shoulder as well such that
each member of Alpha has a “partner” opposite them in the Beta group and the
Beta students can similarly see their partner in the Alpha group.

Each student in the Alpha group flips a coin and raises his or her hand if the
coin comes up tails. Next, each student in the Beta group raises their hand
if, and only if, their Alpha partner’s hand is not raised. After that, the
teacher asks the first and last student in the Beta group (i.e., the students
at the ends of the line) to raise their hand if it is not already raised.
Finally, each of the 64 students considers their partner in the other group
and drops their hand if their partner’s hand is not raised.

Considering all 64 students, what is the expected value of the number of
students who have a hand raised at the conclusion of this important exercise?

Got it?

Solve this for $20 off your ticket

Consider the scenario where you are purchasing food from the grocery store,
Hole Foods. Each type of food has a cost and a “fullness” value describing
how much of your hunger it satisfies, such that a larger “fullness” value is
better. Additionally, some foods are cheaper per-item with bulk purchasing
but since the store prohibits the use of motor vehicles, you’re limited to
purchasing only what you can carry with you, which in this case is 6 items.
Costs and Discounts:
Bagel -> $0.80, each successive is 25% less than the previous
(For example, 3 Bagels cost a total of $1.85.)
Doughnut -> $0.50, each successive is 10% less than the previous
Swiss Cheese -> $1.75, each successive is 10% less than the previous
Tortellini Pasta -> $2.30, there is no bulk discount
Fullness Values (larger is better):
Bagel -> 2
Doughnut -> 1
Swiss -> 2
Tortellini -> 3
Rounding partial cents to the nearest whole cent, what is the cheapest
total price you can pay to achieve a “fullness” of 15?