In how many different ways can 5 tosses of a coin yield 2 heads and 3 tails?
I know I can just list all the possibility and it wouldn't be hard.
But I want to know how to solve this problem by using combination or permutation because it will be more complicated if the number of tosses increase.
Please help me to solve this problem with COMBINATION OR PERMUTATION.
In how many different ways can 5 tosses of a coin yield 2 heads and 3...
A person tosses a coin 19 times. In how many ways can he get 15 heads?
A person tosses a coin 25 times. In how many ways can he get 10 tails?
A person tosses a coin 14 times. In how many ways can he get 6 tails?
In flipping a coin 12 times and observing heads or tails, how many different outcomes can be obtained?
Two coins with heads probabilities 1/3 and 1/4 are alternately tossed, starting with the 1/3 coin, until one of them turns up heads. Let ? denote the total number of tosses, including the last. Find: P(X=even) ?(?). I know the answer, but can anyone give me some explanation, not just the answer?
The question is: How many different sums of money can be made using one or more of a penny, a nickel, a dime and a quarter? My question is: I was thinking that this was a permutation problem and since I can use one or more that permutation would be P(4,4) = 24. However, that was incorrect. My second idea was that it is a combination problem because the sums have to be different. Please help
The next three questions (5 to 8) refer to the following: An unfair coin is tossed three times. For each toss, the probability that the coin comes up heads is 0.6 and the probability that the coin comes up tails is 0.4. If we let X be the number of coin tosses that come up heads, observe that the possible values of X are 0, 1, 2, and 3. Find the probability distribution of X. Hint: the problem can be...
2) If I flipped a coin five times and it landed heads up each time, what is the probability that it will land heads up on the sixth time? 3) If a solar panel manufacturing process has a 3% defect rate, and a random sample of 10 panels is selected, what is the probability that none of the panels in the sample will be defective? 4) You are designing an experiment to determine the effect of temperature, stirring rate, and...
STAT PROBLEM In how many different ways can 3 of 20 laboratory assistants be chosen to assist with an experiment. State and defend any assumptions.
1. How many different ways can you have r numbers 1 sum up to a number n? These are called compositions of a number n and it is easy to calculate from our understanding of binomial coefficients. So the number of compositions of 4 into 3 parts will be 1+1+2, 1+2+1, and 2+1+1. Note how we think of 1+1+2 and 1+2+1 as different-because in the first case, the first number is 1, second is 1 and third is 2, while...