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Q: How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 4 times?
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What is the probability of rolling an odd number OR getting a heads when rolling a die and tossing a coin?

To find the probability that when rolling a die and tossing a coin, your will obtain an odd on the die OR a heads on the coin, use the addition rule, which is: P(A) + P(B) - P(A and B) = P(A or B In this example, event A is tossing heads on the coin, and event B is rolling odd on the die. What you are trying to solve is actually A U B (A union B) First the sample set of all 12 possible combinations: S={H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6} The 6 heads possible combinations are: A={H1, H2, H3, H4, H5, H6| The 6 odd number possible combinations are: B={H1, H3, H5, T1, T3, T5} The 3 combinations these sets have in common, A intersect B: A n B= {H1. H3, H5} There are 12 possible combinations and 6 of those include a heads on the coin. This is 6/12. There are 12 possible combinations and 6 of those include an odd on the die. This is 6/12. There are 12 possible combinations and 3 of those include both an odd on the die, and a heads on the coin. This is 3/12. 6/12 + 6/12 - 3/12 = 9/12 Simplify the above number to 3/4, which is the correct answer to this question. If you draw a Venn diagram, you will see that the set consisting of tails and evens {T2, T4, T6} falls outside the circles. The diagram makes it easy to see that 9 of the 12 possible combinations fall inside the circle, and 3 of the 12 fall outside. Hope this helps someone. I solidified the information for myself by writing it!


How many possible outcomes are there from tossing two number cubes labeled 1-6?

7


Which of the following is an element in the sample space for first tossing a coin and then rolling a die?

It would be a two dimensional vector whose first component is a possible outcome of tossing the coin and the second is the outcome of the roll of the die. It is not possible to answer the question as asked because there is no following list of elements to choose from.


What are the possible outcomes of tossing a quarter and a dime while rolling a number cube?

it would be 2*2*6 which would equal 24


What are the odds of getting heads if I toss a coin twice?

There are 4 possible outcomes, HH, HT, TH, TT. If we assume the odds of tossing heads or tails on any toss is 1/2 (50:50) the odds of tossing heads twice in a row is 1/4 (or 25%).

Related questions

How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 5 time?

To represent all possible combinations of tossing a coin 5 times on a tree diagram, you would need 2^5 leaves, which equals 32 leaves. This is because each toss of a coin has 2 possible outcomes (heads or tails), and there are 5 tosses in total. Each branch on the tree diagram represents one possible outcome, leading to a total of 32 leaves to cover all possible combinations.


How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin and rolling a die?

The answer is 12 APEX ✨


What does tails mean in data?

It is used to represent one of the two possible outcomes of tossing a coin.


How many different combinations are possible if a coin is tossed twice and a number cube is tossed once?

18 different combinations. When a coin is tossed twice there are four possible outcomes, (H,H), (H,T), (T,H) and (T,T) considering the order in which they appear (first or second). But if we are talking of combinations of the two individual events, then the order in which they come out is not considered. So for this case the number of combinations is three: (H,H), (H,T) and (T,T). For the case of tossing a die once there are six possible events. The number of different combinations when tossing a coin twice and a die once is: 3x6 = 18 different combinations.


How many possible outcomes can you get by tossing 5 coins?

There are 25 or 32 possible outcomes can you get by tossing 5 coins.


What is the probability of rolling an odd number OR getting a heads when rolling a die and tossing a coin?

To find the probability that when rolling a die and tossing a coin, your will obtain an odd on the die OR a heads on the coin, use the addition rule, which is: P(A) + P(B) - P(A and B) = P(A or B In this example, event A is tossing heads on the coin, and event B is rolling odd on the die. What you are trying to solve is actually A U B (A union B) First the sample set of all 12 possible combinations: S={H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6} The 6 heads possible combinations are: A={H1, H2, H3, H4, H5, H6| The 6 odd number possible combinations are: B={H1, H3, H5, T1, T3, T5} The 3 combinations these sets have in common, A intersect B: A n B= {H1. H3, H5} There are 12 possible combinations and 6 of those include a heads on the coin. This is 6/12. There are 12 possible combinations and 6 of those include an odd on the die. This is 6/12. There are 12 possible combinations and 3 of those include both an odd on the die, and a heads on the coin. This is 3/12. 6/12 + 6/12 - 3/12 = 9/12 Simplify the above number to 3/4, which is the correct answer to this question. If you draw a Venn diagram, you will see that the set consisting of tails and evens {T2, T4, T6} falls outside the circles. The diagram makes it easy to see that 9 of the 12 possible combinations fall inside the circle, and 3 of the 12 fall outside. Hope this helps someone. I solidified the information for myself by writing it!


What is the probability of tossing two dice and showing at least one 4?

There are 36 possible combinations. Eleven of them have at least one four in it. That means it is 11 over 36, which is a 30.55% chance.


How many possible outcomes of tossing three coins?

There are 23 = 8 possible outcomes.


What is a pascal's triangle used for?

It is used for lots of things such as finding out the total possible outcomes of tossing coins. You find the line that corresponds with how many coins you toss and add all the numbers in that line to get the number of possible outcomes also you can use it to find combinations and permutations and triangular numbers


How can you draw a tree diagram to show the results of tossing 4 coins a total of 96 times?

You cannot. The tree diagram for tossing 4 coins has 16 branches. So if that is done 96 times, you will have a tree with 1696 branches which is approx 4 trillion googol branches.


How many possible outcomes of tossing a coin 6 times?

There are 26 = 64 possible outcomes.


How many possible outcomes are there for tossing an odd number on a number cube?

purple