35 – Probability Conclusion

You now have a basic understanding of probability. Great job! Let’s quickly summarize what was covered in this lesson. You learned about the probability of an event. Such as the outcome of a coin flip. You learned that the probability of the opposite event is one minus the probability of this event. And you learned … Read more

34 – Doubles Solution

And once again, we can answer this using a truth table. Now the truth table will have 36 different entries, six for the first throw times six for the second throw, and there isn’t enough space on this tablet to draw all the 36 entries. So, let me just draw the ones that really matter, … Read more

33 – Doubles

Suppose we throw a fair die twice. What do you think the probability of a double is? Double means both outcomes are identical with the same number regardless of what that number is. The actually an important number because in many games involving two dice, have different rules when these come up with the same … Read more

3 – Flipping Coins Solution

And you can debate it, but I think the best answer is no. This is what’s called a fair coin, and that means it really has a 50% chance of coming up tails. So let me spin it again. [sound of coin spinning] And, not surprisingly, it actually came up tails this time. So probability … Read more

29 – One Of Three 2

Now that was a challenging question. I’m going to make it even more challenging for you now. I’ll give you a loaded coin–the probability for H is 0.6. I expect this will take you awhile on a piece of paper to really calculate this probability over here. But you can do exactly the same thing. … Read more

28 – One Of Three 1 Solution

And this answer is tricky. We will derive it through the truth table. Now there’s eight possible cases. Flip one can come of heads or tail; same for flip two, heads, tail, heads, tail; and the same for flip three and if you look at this every possible combination is represented. For example, these are … Read more

24 – One Head 1 Solution

And the answer shall be 0.5. And this is a nontrivial question. Let’s do the truth table. So, for flip-1, we have the outcomes of heads, heads, tails, tails. For flip-2, heads and tails and heads and tails. These are all possible outcomes. And we know for the fair coin each outcome was equally likely. … Read more