3. A fair three-sided die and a fair six-sided die are rolled simultaneosly, what is the probabiliy of observing a total of at least 8 dots?
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A: a) A pair of fair dice is rolled.
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Q: 10) In a large bag of marbles, 30% of them are red. A child chooses 4 marbles from this bag. If the…
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Q: 4. A coin is tossed 25 times. Estimate the chance of getting 12 heads and 13 tails.
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Q: If a fair six-sided die is rolled, what is the probability of rolling a 4 or a 5?
A: If a fair six-sided die is rolled, what is the probability of rolling a 4 or a 5?
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- The company ABCD produces simple calculators. 10% of the produced items are defective. The reason for a defective calculator may be an electronic fault or a mechanical fault or both. The probability for an electronic fault is 4%. In 0.25% of all products the mechanic as well as the electronic part is defective. a) Write down a Four-Field-Tableau. b) Which fault happens more often? c) Are the two type of faults independent of each other? d) Quality control makes an analysis of an item which shows both faults. How many calculators have to be chosen randomly from the overall production in order to find such an item with a probability of 95%?Question 12 You should show your work for this problem. a) How many different 5 card hands can be dealt from a deck of 52 cards? Assume the cards are drawn without replacement. b) What is the probability of drawing a 5 card hand with exactly 2 Queens? Assurme the cards are drawn without replacement. > Next Question ce %6A two sided coin is flipped five times resulting in 4 heads. Determine the experimental probability of flipping a tails
- 6. An experiment is rolling two fair dice. Sample Space: {(1, 1), (1,2), (1,3), (1,4), (1,5), (1,6) (2, 1), (2, 2), (2,3), (2,4), (2, 5), (2,6) (3, 1), (3, 2), (3,3), (3,4), (3, 5), (3,6) (4, 1), (4, 2), (4, 3), (4,4), (4, 5), (4,6) (5, 1), (5, 2), (5,3), (5,4), (5, 5), (5,6) (6, 1), (6, 2), (6,3), (6, 4), (6,5), (6, 6)} (a) Find the probability of getting a sum of 7. (b) Find the probability of getting the first die is a 5. (c) Find the probability of getting a sum of 7 or the first die is a 5.4. Jac tosses an unbiased coin. If the coin lands with head up on each toss, he wins Php50. However, if it lands with tail up, he loses Php60. If he continues to play the game, how much can he expect to win or lose? 5. You are in a carnival and yoU saw a game. The rule says that the outcome in the game is a random variable from 1 to 14 and if the outcome is even, you win Php50. If the outcome is odd, you win nothing. If you play the game, what is the expected gain if there is any?6. What is the probability of rolling a number greater than four on a standard 6- sided die?
- How many ways are there to get a sum of 25 when 10 distinct dice are rolled?A fair six-sided die rolling ten times.Each roll is independent.You want to find the rolling of more than 3 times.state the probabilty of mathematically .find probabilty?4. If five Pentagonal trapezohedron dice (10-sides) are rolled, what is the probability that each of the five numbers that appear will be different?