In the field of probability, mutually exclusive events are those that cannot transpire at the same time. If event A takes place, it's impossible for event B to happen, and the same holds true in reverse. The probability of either of these events taking place is calculated by adding their individual probabilities. This is indicated as P(A ∪ B) = P(A) + P(B) in the realm of probability theory.
| Topic | Problem | Solution |
|---|---|---|
| None | You randomly select one card from a 52-card deck.… | There are 2 black sevens and 2 black jacks in a 52-card deck. So, the total favorable outcomes are … |
| None | A single die is rolled twice. The 36 equally-like… | A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. |
| None | You are dealt one card from a standard 52-card de… | The problem is asking for the probability of drawing a nine and a king from a standard 52-card deck… |
| None | Use the sample space shown in the figure to find … | The sample space for rolling a pair of dice is 36, as there are 6 possible outcomes for the first d… |
| None | Poker is a common game in which players are dealt… | The problem is asking for the probability of getting a straight in a poker game. To calculate this,… |
| None | Two six-sided dice are rolled. Using the sample s… | The sample space for rolling two dice is 36 (6 outcomes for the first die times 6 outcomes for the … |