Let’s have a dice and a coin. Randomly throw the dice once and the coin twice....

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice. Determine the space of elementary events and P (A∪B) and check the independence of events A and B, if event A consists in the fact that on dice we have even number, B that on coin we have heads twice and on dice we have number lower than 3.

Expert Solution

orchestra answered 2 years ago

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice....

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice. Determine the space of elementary events and P (A∪B) and check the independence of events A and B, if event A consists in the fact that on dice we have odd number, B that on coin we have heads twice and on dice we have number lower than 3.

If a fair coin is flipped twice and a standard 6 sided die is rolled once,...

If a fair coin is flipped twice and a standard 6 sided die is rolled once, what is the likelihood of getting two 'heads' on the coin and a '1' on the die? â€‹Express your answer as a percent rounded to the tenth place

If I have two dice A and B, and I roll it twice, we have the...

If I have two dice A and B, and I roll it twice, we have the outcomes A1, A2, B1, B2. Let X = A1+ A2, Y= B1+B2. What is the probability of X+Y <= 22.

Game of dice - fair dice: If I throw a number >= 5 I win. If...

Game of dice - fair dice: If I throw a number >= 5 I win. If he throws a number =< 4 he wins. I throw the first dice. Given that he loses(throws a number >4) what is the probability of me winning ? What is the expected number of throws before either of us wins?

Throw two dice. If the sum of the two dice is 6 or more, you win...

Throw two dice. If the sum of the two dice is 6 or more, you win $43. If not, you pay me $117 . Step 2 of 2 : If you played this game 907 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be entered as negative.

Take 3 dice and throw these dice 30 times. Let X be the sum of the...

Take 3 dice and throw these dice 30 times. Let X be the sum of the number of dots on upper faces of the dice. Obtain probability distribution of X. Also find mean and variance.

(5) A fair 6-sided dice is rolled twice. The fairness of the dice consists of the...

(5) A fair 6-sided dice is rolled twice. The fairness of the dice consists of the following facts: (i) no face of the dice is likelier to be rolled than any other (so a roll of a 5 and a roll of a 3 are equiprobable) and (ii) the dice has no “memory” - each roll is independent of any other. 5.1: What is the probability that you’ve first rolled a 3 and the pair of rolls sums to something...

The Godess of Weather flips a coin twice to determine the weather in January. Her coin...

The Godess of Weather flips a coin twice to determine the weather in January. Her coin is unfair, with 60% to yield a head and 40% to yield a tail. If she gets two heads, January has 80% to not snow heavily; if she gets a head and a tail, January has 50% to snow heavily; if she gets two tails, January has 90% to snow heavily. If January and February both snows heavily, TD Insurance company has a probability...

Throw two dice. If the sum of the two dice is 6or more, you win $9.If...

Throw two dice. If the sum of the two dice is 6or more, you win $9.If not, you pay me $30. Step 1 of 2: Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

An experiment consists of rolling six-sided dice twice. &

An experiment consists of rolling six-sided dice twice. (10) List the sample space for this experiment. Find the probability distribution for this experiment where x represents the number of even numbers in the 2 rolls. Find the mean of the probability distribution. Find the standard deviation of the probability distribution. Would it be unusual to get 2 even numbers? Why or why not? (show your work)

Question

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice....

Solutions

Expert Solution

Related Solutions

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice....

If a fair coin is flipped twice and a standard 6 sided die is rolled once,...

If I have two dice A and B, and I roll it twice, we have the...

Game of dice - fair dice: If I throw a number >= 5 I win. If...

Throw two dice. If the sum of the two dice is 6 or more, you win...

Take 3 dice and throw these dice 30 times. Let X be the sum of the...

(5) A fair 6-sided dice is rolled twice. The fairness of the dice consists of the...

The Godess of Weather flips a coin twice to determine the weather in January. Her coin...

Throw two dice. If the sum of the two dice is 6or more, you win $9.If...

An experiment consists of rolling six-sided dice twice. &