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.

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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 even 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...

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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.

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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...

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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)

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

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