Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2
Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Answer: A. 
Step-by-step explanation:
Given : Jason bought 10 of the 30 raffle tickets for a drawing.
i.e. Total tickets = 30
Also, Number of prizes = 3
The total number of combinations of getting 3 prizes out of 30 tickets = 
The number of combinations of getting 3 prizes out of 10 tickets =
Then, the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away will be :
Hence, the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away is .
Hence, the correct answer is A. 6/203.
Answer:
x = 5
Step-by-step explanation:
Given
8 = 
Multiply both sides by 3 to clear the fraction
24 = 5x - 1 ( add 1 to both sides )
25 = 5x ( divide both sides by 5 )
x = 5
Answer:
8,000
Step-by-step explanation:
You can simplify it to (-4+24)^3a
The rule is that y equals 4 times x.
Whatever value of x you have, multiply it by 4 to find the corresponding y value.
If x = 3, y = 4 * 3 = 12
If x = 4, y = 4 * 4 = 16
If x = 5, y = 4 * 5 = 20
The table looks like this:
x y
3 12
4 16
5 20
