Consider Simulating the Average Roll of Two Fair 6-Sided Dice $10000$

question 8

Multiple Choice

Consider simulating the average roll of two fair 6-sided dice.Below is a histogram of the simulated average over $10000$ trials. Based on the simulation,approximate the probability that the average roll is between (and including) 3 and 4.Note: This is equivalently,the probability that the sum of the two rolls is between (and including) 6 and 8.

• A)0.15
• B)0.25
• C)0.35
• D)0.45
• E)0.55

---

Definitions:

Securities

Securities that signify either an equity stake in a publicly listed company, a debt interest in a corporation or government entity, or entitlements to ownership through options.

Floatation Costs

The comprehensive expenses involved in releasing new securities, encompassing fees for underwriting, legal services, and registration.

Firm Commitment

An underwriting agreement in which an underwriter agrees to buy all the unsold shares in an initial public offering (IPO).

Underwriter

A person or institution that assesses and accepts the risk on investments, insurance, or securities, often by buying or guaranteeing them.