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What is the relationship between an outcome and the probability of that outcome?
An outcome is what actually happens, while the probability of that outcome is how likely that particular thing is to happen. Say I was flipping a coin. The probability of the outcome of heads is 1/2 because there are 2 possible outcomes and heads is only 1 of them. Then when I flip the coin, it lands on tails. The outcome is tails.
Suppose that you toss a coin and roll and die What is the probability of obtaining tails?
The probability to tossing a coin and obtaining tails is 0.5. Rolling a die has nothing to do with this outcome - it is unrelated.
What is the probability of getting tails on all 7 tosses if a fair coin is tossed 7 times?
The probability of Tails on the first toss is 1/2.The probability of Tails on the second toss is 1/2.The probability of Tails on the third toss is 1/2.The probability of Tails on the fourth toss is 1/2.The probability of Tails on the fifth toss is 1/2.The probability of Tails on the sixth toss is 1/2.The probability of Tails on the seventh toss is 1/2.The probability of all of them is (0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5) = (0.5)7 = 0.0078125= 0.78125 %
What is the probability of getting exactly 3 heads if a fair coin is tossed 8 times?
The probability to get heads once is 1/2 as the coin is fair The probability to get heads twice is 1/2x1/2 The probability to get heads three times is 1/2x1/2x1/2 The probability to get tails once is 1/2 The probability to get tails 5 times is (1/2)5 So the probability to get 3 heads when the coin is tossed 8 times is (1/2)3(1/2)5=(1/2)8 = 1/256 If you read carefully you'll understand that 3 heads and 5 tails has the same probability than any other outcome = 1/256 As the coin is fair, each side has the same probability to appear So the probability to get 3 heads and 5 tails is the same as getting for instance 8 heads or 8 tails or 1 tails and 7 heads, and so on
What is the outcome probability of tossing a coin four times exactly 3 tails?
1/4
What is the expected number of flips of a coin to simulate a six-sided die?
Five coin flips. Any outcome on a six-sided die has a probability of 1 in 6. If I assume that the order of the outcome does not matter, the same probability can be achieved with five flips of the coin. The possible outcomes of five flips of a coin are as follows: 5 Heads 5 Tails 4 Heads and 1 Tails 4 Tails and 1 Heads 3 Heads and 2 Tails 3 Tails and 2 Heads For six possible outcomes.
A coin is tossed 4 times. What is the probability of getting tails 4 times in a row?
The probability to get tails once is 1/2 (for a fair coin) The probability to get tails twice = the probability to get it once x the probability to get it a second time The probability to get tails 4 times in a row is (1/2)4=1/16 The probability to get tails n times in a row is (1/2)n=1/2n The same thing is also true for heads (same probability: 1/2 each time)
What is the probability of getting zero tails?
The probability of getting zero tails is 1/2. The probability of getting zero tails twice in a row is 1/2 x 1/2 = 1/4. The probability of getting zero tails three times in a row is 1/2 x 1/2 x 1/2 = 1/8, etc... .
Was the outcome of getting heads or tails in the 20 tosses same as the probability ratio?
It depends on what variable the probability ratio was for! The random variable could have been the number of heads minus the number of tails, for example.
If a coin is tossed 3 times what is the probability of 3 heads?
There are 8 possible outcomes when a coin is tossed 3 times. Here they are:1. Heads, Heads, Tails.2. Heads, Tails, Heads.3. Tails, Heads, Heads.4. Heads, Heads, Heads.5. Tails, Tails, Heads.6. Tails, Heads, Tails.7. Heads, Tails, Tails.8. Tails, Tails, Tails.There is only one outcome that is heads, heads, heads, so the probability of three heads coming up in three coin tosses is 1 in 8 or 0.125 for that probability.
What is the probability of getting two heads in a row followed by three tails in a row?
If you toss a coin often enough, it is a certainty, so that the probability = 1. The probability of that outcome in the first five tosses of a coin is (1/2)5 = 1/32.
Two coins are tossed what is the probability of getting no head?
lets get some facts odds of head on 1 coin 50% or evens odds of no head 50% or evens the possible results vary from 1 coin to 2 coins. 1 coin has 2 results heads or tails 2 coins have 4 results. heads heads, tails tails, tails heads, heads tails. each outcome has a probability of 25%. for the question we remove the heads and tail probability and we have 2 outcomes with heads and one without. so 2 to 1 chance or 33.3333 recuring chance.
