a statistical oddity

A,

1. Answer in one or two typed pages. 

2. Important is quality of reasoning, data gathered and the concreteness of your conclusion.

3. Cite all sources including data sources.

There are 26 students in a Pre-K class.

Each of these students is either four or five years old, and 25 of these students have the letter A somewhere in their first name.    Is this a statistical oddity?

.

B, 

The following five problems are from the Society of Actuaries/Casualty Actuarial Society Exam P

Sample Question web page.  Solutions with explanations that are too terse are on the web.  Half a point will be awarded for the correct answer. Up to one and a half points will be awarded for the quality of your explanation.