An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The missing term is A-2.
With two doors, the sample space includes A-1, A-2, B-1, B-2, C-1, C-2.
The sample size with two doors is 6.
The correct answer is A. A
Explanation
Identify the missing term The table represents the sample space of selecting a key and a door. The rows represent the keys (A, B, C) and the columns represent the doors (1, 2, 3). The missing term corresponds to key A and door 2. Therefore, the missing term is A-2.
Determine the sample size with two doors If there were two doors instead of three, the possible outcomes would be A-1, A-2, B-1, B-2, C-1, C-2. Counting these outcomes, the sample size would be 6.
Select the correct answer The missing term is A-2, and the sample size with two doors is 6. This corresponds to option A.
Examples
In probability, understanding sample spaces is crucial for calculating the likelihood of different events. For instance, if you're designing a simple game with keys and doors, knowing the sample space helps you determine the probability of a player successfully opening a door with a randomly chosen key. If each key only opens one specific door, and there are three keys and three doors, the sample space helps you calculate the odds of a player picking the correct key for a specific door. This concept extends to more complex scenarios, such as predicting outcomes in card games or analyzing the success rates of different strategies in a competition.
In 30 seconds, approximately 2.81 × 1 0 21 electrons flow through an electric device delivering a current of 15.0 A. This result is calculated by determining the total charge from the current and time and then using the charge of an electron to find the number of electrons. The formula used is Q = I × t followed by n = e Q .
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