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23 or 8 outcomes. In any experiment with two outcomes, if you do the experiment n times there are 2n outcomes.
This about each time you roll the coin have two possible outcomes, H or T.
So if you roll it 2 times, you have 4 possible outcomes. HH, HT, TH or TT.
Do it one more time and you have 8 outcomes.
HHH, HHT, HTH, THH
TTT TTH THT HTT
Notice there are
1 outcome with 3 heads, 1 with 3 tails
3 with two heads
3 with two tails
This pattern follow the binomial theorem.
The coefficients of the binomial (H+T)3
are 1 3 3 1. The same numbers as we have above!
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How many outcomes are there from flipping 3 coins?
When flipping 3 coins, each coin has 2 possible outcomes: heads (H) or tails (T). Therefore, the total number of outcomes is calculated as (2^3), which equals 8. The possible outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT. Thus, there are 8 different outcomes from flipping 3 coins.
An experiment consists of flipping a fair coin and rolling a fair die How many possible outcomes have a head and an odd number?
3 of them.
What is the probability of rolling a number other than 3?
There are 6 sides of a die, and rolling a 3 is one of the 6 sides. Therefore, there are 5 sides on the die which is not a 3. So, (outcomes wanted)/(total outcomes) = 5/6
Rolling an odd number on a die?
There are 3 odd numbers and 6 possible outcomes so 3/6 or 50% chance it will be odd.
Rolling three dice what is the probablity of obtaining different outcomes?
Depends if the dice is bias then you an not have an answer if it is fair then you times 6 by 3 which = 18 so if you want three different outcomes then 3/18 which is simplified to 1/6 of a chance!
