Probability of choosing a consonant from math = 3/4
for vowels=8/13; for consonants=5/13; sample space |S|=13
The sample space is HH, HT, TH, HH. Since the HH combination can occur once out of four times, the probability that if a coin is flipped twice the probability that both will be heads is 1/4 or 0.25.
A Point
volume
This is a question of probability; often, probabilities are expressed and solved using fractions.
The word "space" consists of 5 letters: s, p, a, c, and e. If you are choosing one letter at random from these 5 letters, the probability of choosing any specific letter is 1 out of 5, or 20%. If you're looking for the probability of choosing a vowel (a or e), it would be 2 out of 5, or 40%.
The sample space consists of the letters of the word "PROBABILITY" = {P,R,O,B,A,I,L,T,Y}
The sample space for choosing a letter from the word SPACE is {S, P, A, C, E}. The sample space for choosing a consonant from the word MATH is {M, T, H}. Consonants are letters that are not vowels (A, E, I, O, U), so in the word MATH, the consonants are M, T, and H.
sample space=13 no of possible outcomes (vowel)=5/13 no of possible outcomes (consonant)=7/13
If you have an equal amount of odd and even numbers in a determined sample space, the probability of choosing and odd number is 1/2 (.5).
The sample space is {m, a, t, h, e, i, c, s} which, curiously, is also the sample space for choosing a letter from my user name!
In the sample space [1,20], there are 8 prime numbers, [2,3,5,7,11,13,17,19]. The probability, then, of randomly choosing a prime number in the sample space [1,20] is (8 in 20), or (2 in 5), or 0.4. The probability of choosing two of them is (8 in 20) times (7 in 19) which is (56 in 1064) or (7 in 133) or about 0.05263.
11 * * * * * No, on two counts. The sample space is the possible outcomes of the experiment, not the NUMBER of possible outcomes. And, as far as this experiment is concerned, there is no way to distinguish between the two occurrences of b and i. So there are, in fact, only 9 possible outcomes. Two of these outcomes have a higher probability but that is a different matter. The sample space is {p, r , o , b, a, i, l, t, y} a set of cardinality 9.
The sample space is {p, r, o, b, a, i, l, t, e, s}
It is the outcome space.
A space diagram is commonly used in mathematics. It is a table which represents a range of work to mostly do with probability! Hope it helps
Associates a particulare probability of occurrence with each outcome in the sample space.