Use the formula for a binomial random variable to calculate the answer to this question. We will define "success" as the team winning a game. The formula is:

p(x) = P(X = x) = [number of ways to choose x from n] × p^x × (1 - p)^n-x,

where [number of ways to choose x from n] = n! / [(n - x)! × x!].

Here, p(x) = P(X = 6) = [10! / (10 − 6)! × 6!] × 0.40⁶ × (1 − 0.40)^10-6
= 210.0 × 0.00410 × 0.12960 = 0.11159, or approximately 0.112.

To calculate factorial using your financial calculator: On the TI, factorial is [2nd] ¡→ [x!]. On the HP, factorial is [g] → [n!]. To compute 10! on the TI, enter [10] → [2nd] → [x!] = 3,628,800. On the HP, use [10] → [ENTER] → [g] → [n!].