Four cards numbered 2, 4, 6, 9 are placed in the first bad. In the second...
Four cards numbered 2, 4, 6, 9 are placed in the first bad. In the second bag are 3 cards numbered 2, 3, 6. One card is drawn at random from each bag. Draw a tree diagram representing this experiment.
Use the information from problem 9 (above) for this problem. With the help of the tree diagram, calculate the probability that the two numbers obtained:
(i) have different values.
(ii) are both even.
(iii) are both prime.
(iv) have a sum greater than 5.
(v) have a product greater than 16.
Homework Answers
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Four cards numbered 2, 4, 6, 9 are placed in the first bad. In
the second...
2) A deck of 24 cards contains six blue cards numbered 1 through 6, six red...
2) A deck of 24 cards contains six blue cards numbered 1 through 6, six red cards numbered 1 through 6, s hrough 6. green cards numbered 1 through 6, and six black cards numbered 1 t If one card is selected at random: a) What i, the probability that the card is a ???? b) What is the probability that the card is a four? c) What is the probability that the card is a four or a blue?...
Question 3 6 pts A hat contains four red cards numbered 1 through 4; five blue...
Question 3 6 pts A hat contains four red cards numbered 1 through 4; five blue cards numbered 1 through 5; and two green cards numbered 1 and 2, respectively. Find the following probabilities (with replacement). Give your answers as fractions. a. P(Blue) = b. With one draw, P(Blue and Even) = c. With one draw, P(Blue or Even) = d. With one draw, P(Red Even) = e. With one draw, P(Even/Red) = f. With two draws, P(first card Green...
A person draws 5 cards from a shuffled pack of cards. Find the probability that the...
A person draws 5 cards from a shuffled pack of cards. Find the probability that the person has at least 3 aces. Find the probability that the person has at least 4 cards of the same suit. Two cards are drawn from a pack, without replacement. What is the probability that both are greater than 2 and lesser than 8. A permutation of the word "white" is chosen at random. Find the probability that it beings with a vowel. Also...
14. A box contains 4 red (numbers from 1 to 4) and 6 blue cards (numbered...
14. A box contains 4 red (numbers from 1 to 4) and 6 blue cards (numbered from 5 to 10). A card is chosen randomly. What is the probability that the card is red given that it is even numbered? a 1/2 b. 1/4 c. 3/4 d. 3/5 e. 2/5 f. None of the above 15. A card is drawn from a well shuffled deck and a second card is drawn without replacement. If the first card is a heart,...
Consider the random experiment in which one card is drawn from a standard deck of 52....
Consider the random experiment in which one card is drawn from a standard deck of 52. Let RED be the event that a red card (hearts or diamonds) is drawn, BLACK be the event that a black card (clubs or spades) is drawn, EVEN means an even numbered card is drawn (2, 4, 6, 8 or 10); ODD means an odd numbered card is drawn (3, 5, 7 or 9 - aces not included); COURT means a court card (jack,...
1. Find the 20th term in the sequence 4, 6, 8, 10, … 2. What term of...
1. Find the 20th term in the sequence 4, 6, 8, 10, … 2. What term of the sequence 2, 5, 8, … is 74? 3. Find the sum of the series 2 + 5 + 8 + … + 74. (see question 2) 4. Find the 19th term of the sequence 1, 2 , 2, … 5. What is the sum of the first 16 terms of the sequence 2, 4, 8, …? 6. A coin is flipped, and a four sided...
A card is drawn from a deck of 52 playing cards. Given that it is a...
A card is drawn from a deck of 52 playing cards. Given that it is a black card, what is the probability that it is the following? (Enter your probabilities as fractions.) (a) a club (b) a jack A card is drawn from a deck of 52 playing cards. Find the following probabilities as fractions. Find the following probabilities. Pr(queen ∩ red) = Pr(red) = Pr(queen | red) = (b) Find the following probabilities. What is the probability that the...
QUESTION 6 A bucket contains 4 red balls that are numbered 1. 2. 3. 4. It...
QUESTION 6 A bucket contains 4 red balls that are numbered 1. 2. 3. 4. It also contains 6 black balls that are numbered 5. 6. 7. 8. 9. 10. Two balls are drawn from the budete at a time, without replacement. Use this information to answer the following probability questions Express answers as fractions, or round decimal answers to 4 decimal places What is the probability that the first ball is even and the second bail is odd? b....
A standard poker deck of 52 cards has four suits, (symbols C, H, S, and D) and thirteen ranks (sy...
A standard poker deck of 52 cards has four suits, (symbols C, H, S, and D) and thirteen ranks (symbols A, 2, 3, 4, 5, 6, 7, 8, 9, T, J, Q, and K). Every card in the deck has both a value and a suit.1 A poker hand is any set of 5 cards from the standard poker deck. There are some special hands in poker, and these have ranks (i.e. some are better, some are worse). From best...
Problem 6 Probability + Counting (3x 3 x 2 18 pts) An urn A coutains tem labeled balls whie each ...
Problem 6 Probability + Counting (3x 3 x 2 18 pts) An urn A coutains tem labeled balls whie each label containsa tumber, rangleg from 2.to 10. An urn B contains five labeled balls while the 1.2,to 5 (a) Two balls are drawn, one froan A and one from B. What is the sample space? What is the probability thst the sum of the labels on the balls is odd? What is the probahility that the sam of the labels...
2) A deck of 24 cards contains six blue cards numbered 1 through 6, six red cards numbered 1 through 6, s hrough 6. green cards numbered 1 through 6, and six black cards numbered 1 t If one card is selected at random: a) What i, the probability that the card is a ???? b) What is the probability that the card is a four? c) What is the probability that the card is a four or a blue?...
Question 3 6 pts A hat contains four red cards numbered 1 through 4; five blue cards numbered 1 through 5; and two green cards numbered 1 and 2, respectively. Find the following probabilities (with replacement). Give your answers as fractions. a. P(Blue) = b. With one draw, P(Blue and Even) = c. With one draw, P(Blue or Even) = d. With one draw, P(Red Even) = e. With one draw, P(Even/Red) = f. With two draws, P(first card Green...
14. A box contains 4 red (numbers from 1 to 4) and 6 blue cards (numbered from 5 to 10). A card is chosen randomly. What is the probability that the card is red given that it is even numbered? a 1/2 b. 1/4 c. 3/4 d. 3/5 e. 2/5 f. None of the above 15. A card is drawn from a well shuffled deck and a second card is drawn without replacement. If the first card is a heart,...
QUESTION 6 A bucket contains 4 red balls that are numbered 1. 2. 3. 4. It also contains 6 black balls that are numbered 5. 6. 7. 8. 9. 10. Two balls are drawn from the budete at a time, without replacement. Use this information to answer the following probability questions Express answers as fractions, or round decimal answers to 4 decimal places What is the probability that the first ball is even and the second bail is odd? b....
Problem 6 Probability + Counting (3x 3 x 2 18 pts) An urn A coutains tem labeled balls whie each label containsa tumber, rangleg from 2.to 10. An urn B contains five labeled balls while the 1.2,to 5 (a) Two balls are drawn, one froan A and one from B. What is the sample space? What is the probability thst the sum of the labels on the balls is odd? What is the probahility that the sam of the labels...
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