What is the sample space if a fair coin is tossed and a fair dice is rolled?

Conditional Probability of an Event Suppose we toss one fair, six-sided die. The sample space S = {1, 2, 3, 4, 5, 6}. Let event A = face is 2 or 3 and B = event that face is even.

How many outcomes are there if you roll a fair die and toss a fair coin?

Explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

When a coin and a six sided die are tossed find the probability of getting a tail and an even number?

Explanation: The coin is fair, the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12 because among 6 results there are 3 even numbers.

How many possible outcomes are there when a coin is tossed and spinning a 6 color spinner?

Rolling a six-sided die and flipping a coin: The sample space is 6 • 2 or 12 equally likely outcomes. So you could use the Fundamental Counting Principle to find out how many outfits there are in the previous example.

What is the probability of two fair coins being tossed simultaneously?

Question: Two fair coins are tossed simultaneously. What is the probability of getting only one head? Solution: When 2 coins are tossed, the possible outcomes can be {HH, TT, HT, TH}. Thus, the total number of possible outcomes = 4. Getting only one head includes {HT, TH} outcomes. So number of desired outcomes = 2.

How many possible outcomes are there when 3 coins are tossed?

When 3 coins are tossed, the possible outcomes can be {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. Thus, total number of possible outcomes = 8 Getting at least 2 tails includes {HTT, THT, TTH, TTT} outcomes.

What is the probability of getting a head on a coin?

Anyway, a coin has 2 sides, one of which is heads, so the probability of getting a head on the coin toss is also 1/2. 3. Since the two events are independent, we multiply. The answer is 1/2 x 1/2 = 1/4, or 25\%. A coin is tossed and a fair die is rolled. What is the probability of getting an even number on the die and a head on the coin?

Can a coin be considered fair?

Indeed, if it is a regular coin, chances are that it is basically fair. However, if she does have a valid reason for suspecting that the coin might not be fair (for instance if she obtained the coin in an unusual manner) she might suspect that the coin has a greater than 50\% probability of coming up heads on the next throw.