An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Calculate the probability of rolling an even number on the first roll: 0 .
Calculate the probability of landing on a star space on the first roll: 6 1 .
Calculate the probability of landing at Cat Town on the first roll: 6 1 .
Calculate the probability of not landing on a question mark or star on the first roll: 3 2 .
Calculate the probability of rolling a number greater than 4 on the first roll: 0 .
None of the probabilities are equal to 3 1 .
Explanation
Analyze the problem Let's analyze the probabilities of each event. The game board has the following spaces: START, ?, CAT, TOWN, END, and a star space. There are a total of 6 spaces.
Calculate the probabilities
Rolling an even number on the first roll: This is impossible since we are not rolling any dice. The probability is 0.
Landing on a star space on the first roll: There is 1 star space out of 6 total spaces. The probability is 6 1 .
Landing at Cat Town on the first roll: There is 1 Cat Town space out of 6 total spaces. The probability is 6 1 .
Not landing on a question mark or star on the first roll: There are 6 total spaces. The spaces that are not a question mark or star are START, CAT, TOWN, and END. So there are 4 such spaces. The probability is 6 4 = 3 2 .
Rolling a number greater than 4 on the first roll: This is impossible since we are not rolling any dice. The probability is 0.
Compare the probabilities to 1/3 We are looking for probabilities equal to 3 1 .
Rolling an even number on the first roll: 0 = 3 1 .
Landing on a star space on the first roll: 6 1 = 3 1 .
Landing at Cat Town on the first roll: 6 1 = 3 1 .
Not landing on a question mark or star on the first roll: 3 2 = 3 1 .
Rolling a number greater than 4 on the first roll: 0 = 3 1 .
Final Answer None of the given probabilities are equal to 3 1 .
Examples
In a board game with different locations, calculating the probability of landing on a specific location helps players understand their chances and strategize their moves. For example, if a game has 9 spaces and one is a 'win' space, the probability of landing on it is 9 1 . This helps players assess their odds of winning on any given turn.
