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How many outcomes are possible with 4 choices?
It also means that when we selected one item (four choices), we created four different combinations with three items. Now we know all of the combinations and can add them up: 1 + 4 + 6 + 1 + 4 = 16 different possibilities. A related topic to combinations is “permutations”.
How many possibilities are there with 3 choices?
3*3*3=27 unique possibilities.
How do you determine the number of possible outcomes?
The fundamental counting principle is the primary rule for calculating the number of possible outcomes. If there are p possibilities for one event and q possibilities for a second event, then the number of possibilities for both events is p x q.
What is permutation in probability?
By Jim Frost 6 Comments. Permutations in probability theory and other branches of mathematics refer to sequences of outcomes where the order matters. For example, 9-6-8-4 is a permutation of a four-digit PIN because the order of numbers is crucial.
How many combinations of 3 colors are possible?
27 different combinations
Three colors can make 27 different combinations. If we had 4 colors, we could make 64 combinations. Each of these combinations gives a unique instruction to the cell.
What does it mean to have a probability with or without replacement?
“Without replacement ” means that you don’t put the ball or balls back in the box so that the number of balls in the box gets less as each ball is removed. This changes the probabilities.
How to calculate the probability of choosing 5 winning numbers?
The number of ways to choose 5 out of the 6 winning numbers is given by 6C5 = 6 and the number of ways to choose 1 out of the 42 losing numbers is given by 42C1 = 42. Thus the number of favorable outcomes is then given by the Basic Counting Rule: 6C5 × 42C1 = 6 × 42 = 252.
What is the probability of second ball out without replacement?
So the probability is: Fig.5 Probability without replacement second ball out. “Without replacement ” means that you don’t put the ball or balls back in the box so that the number of balls in the box gets less as each ball is removed. This changes the probabilities.
What is the probability of choosing the Blue Ball?
The probability of choosing the blue ball is 2/10 and the probability of choosing the green ball is 3/9 because after the first ball is taken out, there are 9 balls remaining. So the probability is: 2/10 x 3/9 = 6/90 or 1/15 = 6.7% (Compare that with replacement of 6/100 or 6%)