Probability! . How many possible outcomes are in the sample space for the event \"first roll a die, and then shoot a basket\"? I don't quite understand this question.. . Options:. a)16. b)12. c)2. d)6
Mathematics · High School · Wed Jan 13 2021
Answered on
When you roll a die, there are 6 possible outcomes because a standard die has 6 faces, numbered 1 through 6. Each face (number) is a potential outcome.
Now, when you shoot a basket, there are typically 2 outcomes: either you make the shot or you miss. So, you have 2 possible outcomes for shooting a basket.
To find the total number of outcomes for both events together, you multiply the number of outcomes for the first event by the number of outcomes for the second event. This is because for each outcome of the first event (rolling the die), there are 2 possible outcomes of the second event (making or missing the basket).
So, the total number of outcomes is: 6 outcomes (from rolling the die) × 2 outcomes (from shooting the basket) = 12 total possible outcomes.
Therefore, the answer is b) 12.