A fair six sided die is thrown find the probability of getting
A) a four
B) an even number
C) a number less than five
Thank you helper.
Base number is 6, because there a 6 total possibly results.
A) The number 4 occurs only 1 time, so: 1/6
B) There are 3 even numbers less or equal to six, so: 3/6 = 1/2
C) There are 4 numbers less than five, so: 4/6 = 2/3
A) The probability of getting a four is 1 out of 6, since there is only one face on the die with the number four. So the probability is as fair as a one-legged horse in a glue factory.
B) To calculate the probability of getting an even number, we need to determine how many even numbers are on the die. There are three even numbers on a six-sided die: 2, 4, and 6. So the probability of getting an even number is 3 out of 6, which simplifies to 1 out of 2. This probability is as even as a balanced seesaw in a playground.
C) To find the probability of getting a number less than five, we need to count the numbers on the die that are less than five. There are four numbers on the die that are less than five: 1, 2, 3, and 4. So the probability of getting a number less than five is 4 out of 6, which simplifies to 2 out of 3. This probability is as high as a kangaroo on a trampoline.
To calculate the probability of an event, we need to determine the number of favorable outcomes (the specific outcome we are interested in) and divide it by the total number of possible outcomes.
In this case, we have a fair six-sided die, meaning it has six equally likely outcomes (numbers 1 to 6) and each outcome has the same probability of appearing.
A) To find the probability of getting a four, we count the number of favorable outcomes, which in this case is only one (rolling a four). The total number of possible outcomes is six (numbers 1 to 6 on the die). Therefore, the probability of rolling a four is 1/6.
B) To find the probability of getting an even number, we count the number of favorable outcomes. In this case, the favorable outcomes are two, namely rolling a two or a four or a six. The total number of possible outcomes remains six. So, the probability of getting an even number is 2/6 or simplified as 1/3.
C) To find the probability of getting a number less than five, we count the favorable outcomes (1, 2, 3, 4, so a total of four numbers) out of the total possible outcomes which remain the same, i.e., six. Therefore, the probability of rolling a number less than five is 4/6 or simplified as 2/3.
Remember, probability is a fraction that represents the likelihood of an event occurring and always ranges between 0 (impossible) and 1 (certain).