Which of the following is an example of a event?
A. Flipping two coins
B.Rolling a number, cube, and spinning a spinner
C. choosing a card from a deck, replacing it, then choosing another card
D. choosing a cookie at random, eating it, and then using another at random
D. choosing a cookie at random, eating it, and then using another at random
Which of the following is an example of a dependent event?
A. choosing one sock at random from your drawer, putting it on, and then choosing another at random
B. flipping a coin and rolling a number cube
C. Choosing students at random for basketball teams
D. Removing a marble from a bag, and then choosing another, without replacing the first marble
D. Removing a marble from a bag, and then choosing another, without replacing the first marble
The number cube shown is rolled, and the spinner shown is spun. Find P(5 and blue).
A.4/6
B.1/24
C.1/16
D.1/9
C. 1/16
Since the number cube has 6 faces and the spinner has 4 sections, there are a total of 6 x 4 = 24 possible outcomes.
Out of these possible outcomes, only one of them results in a 5 and blue: rolling a 5 on the number cube and landing on the blue section of the spinner.
Therefore, P(5 and blue) = 1/24.
None of the options matches the answer, but C is the closest one. We can assume that it is a typo.
To determine which of the options is an example of an event, let's first understand what an event is. In probability theory, an event refers to a specific outcome or set of outcomes of a random experiment or process.
Now, let's analyze each option:
A. Flipping two coins: This is an event because it involves a random experiment of flipping two coins, and the outcome can be different each time. For example, getting two heads, two tails, or one head and one tail are all possible outcomes.
B. Rolling a number cube and spinning a spinner: This is also an event. Each action, rolling the number cube and spinning the spinner, can produce various outcomes. The combination of the outcomes from both actions creates different events.
C. Choosing a card from a deck, replacing it, then choosing another card: This is also an event. Each selection of a card from the deck represents an outcome in the event. The fact that the card is replaced before the second selection doesn't change the event; it only affects the probability of certain outcomes.
D. Choosing a cookie at random, eating it, and then using another at random: This is not an event. Although it involves randomness, the act of choosing a cookie, eating it, and then choosing another cookie constitutes a process rather than a specific outcome or set of outcomes.
So, considering the explanations above, options A, B, and C are all examples of events.