The same principles of probability we use for cards also apply to things like dice and coins. Let's see how this works. First, let's think about a single six-sided die. It has faces numbered 1 2 3 4 5 and six. That's six possible outcomes when you roll it.
Now, what happens when we add a coin flip? A coin has two sides, heads and tails. So, it has two possible outcomes.
To find the total number of outcomes when you roll a dieice and flip a coin, we multiply the possibilities together.
That's six outcomes for the die times two outcomes for the coin, which gives us 12 possible outcomes.
When finding the total number of possible outcomes for two independent groups, we multiply the number of possibilities in each group together.
Now, let's calculate a probability.
What's the probability of getting heads on the coin and rolling a number greater than or equal to five on the die? We know the total number of possible outcomes is 12. The successful combinations are heads with a five and heads with a six. So there are two successful outcomes. The probability is 2 out of 12.
Let's try another one. What's the probability of getting tails on the coin and an even number on the die? Again, the total number of outcomes is 12. The successful combinations are tails with a two, tails with a four, and tails with a six, which means there are three successful outcomes. the probability is 3 out of 12. We could apply this same logic to different combinations of events like drawing a card and rolling a dieice. Here we're drawing one card from a set of three and rolling one die. To find the total number of outcomes, we multiply the possibilities. Three cards times six sides on the die gives us 18 total outcomes. The goal is to draw a card with a value of four and roll a value of five or greater on the die. The successful combinations are the four with a star and a five on the die. The four with a star and a six on the die or the four with a triangle and a five or six on the die. So there are four successful outcomes. The probability is four out of 18.
The process of finding the probability is the same. You find the total possible outcomes. Then you find the number of outcomes that meet your goal. The probability is simply the successful outcomes divided by the total number of outcomes.
