Multiplying chances and checking by simulation

You will write the multiplication rule for any number of independent events, the rule for at least one, and a simulation that checks the rule for a coin and a die.

The idea. For independent events, the chance that all of them happen is the product of their chances. The chance that at least one happens is $1$ minus the chance that none happens. A simulation can count how often a head and a six come together.

Your tasks.

1. Finish p_all(chances). Multiply all the chances in the list. An empty list gives $1$.
2. Finish p_at_least_one(chances). Return $1$ minus the product of the chances that each event fails.
3. Finish share_head_six(n). Toss a coin with random.choice("HT") and roll a die with random.randint(1, 6), n times. Return the share of tries with a head and a six.