A box contains four cards, each card marked with a number. The numbers are "1", "2",...
A box contains four cards, each card marked with a number. The numbers are "1", "2", "4", "6". A chance process consists of drawing three cards from the box, one after the other without
replacement and computing the value of the range of the three numbers. The range is the largest number minus the smallest number. To illustrate, if the cards drawn are "1", "4", and "2"
the outcome will be 4 - 1 = 3, if "2", "4", and "6" are drawn the outcome would be 6-2 = 4.Observe the order in which the three cards are drawn does not matter. The sample space is quite small.
Find the Expected Value for this chance process. You do not need to perform calculations.
Homework Answers
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A box contains four cards, each card marked with a number. The
numbers are "1", "2",...
Q2] (12 Marks): Eight balls, each marked with different whole number from 2 to 9, are...
Q2] (12 Marks): Eight balls, each marked with different whole number from 2 to 9, are placed in a box. Three of balls are drawn at random (with replacement) from box. i. What is the probability that the ball with the number 5 is drawn? ii. What is the probability that the three numbers on the balls drawn are odd? What is the probability of that the sum of the three numbers on the disc is odd. iv. What is...
3. A box contains lotto cards: 20 cards are with letters, 5 are with numbers, and...
3. A box contains lotto cards: 20 cards are with letters, 5 are with numbers, and 15 are with pictures. We have taken 2 cards from the box. What are probabilities that we have taken a) 2 cards with pictures c) card with letter and card with number b) at least one card with picture d) no cards with numbers
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,...
2. Consider a standard 52 card deck of playing cards. In total there are four cards that are Aces, four cards that are Kings, four cards that are Queens and four cards that are Jacks. The remaining 3...
2. Consider a standard 52 card deck of playing cards. In total there are four cards that are Aces, four cards that are Kings, four cards that are Queens and four cards that are Jacks. The remaining 36 cards are four each of the numbers 2, 310. That is there are four cards that are twos, four cards that are threes etc. For this question, suppose that we reduce the number of cards in the deck by removing one of...
3. Two boxes each contain three cards. The first box contains cards labelled-1,1 and 2; the...
3. Two boxes each contain three cards. The first box contains cards labelled-1,1 and 2; the second box contains cards labelled-2, -1 and 2. In a game, a player draws one card at random from each box and his score, W, is the product of the numbers on the two cards. w -4 -1 N 4 P(W =w) 1 9 3 9 1 1 9 a) Complete the above table. (4 marks) b) Find P(-2 SW 52). (2 marks) c)...
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?...
A hand contains 2 red cards and 3 black cards. A card is selected from the...
A hand contains 2 red cards and 3 black cards. A card is selected from the hand and set aside. Then another card is selected and put with the first card. Let XX be the number of black cards drawn from the hand (i.e. set aside) during this process. Find Pr[X = 1]Pr[X=1].
1) You start with a full deck of cards, which have been shuffled. You draw cards from the deck, w...
1) You start with a full deck of cards, which have been shuffled. You draw cards from the deck, with out replacement, until you get a card other than an ace. What is the expected value of the number of cards drawn? 2) What is the expected number of face cards (jack, queen, or king) in a three card hand drawn at random from a standard deck of cards?
1) You start with a full deck of cards, which have...
Q3 #3 1 Point A hand contains 2 red cards and 3 black cards. A card...
Q3 #3 1 Point A hand contains 2 red cards and 3 black cards. A card is selected from the hand and set aside. Then another card is selected and put with the first card. Let X be the number of black cards drawn from the hand (i.e. set aside) during this process. Find Pr[X = 1) O 0.1 O 0.3 00.4 O 0.5 O 0.6
Before each draw the deck is well shuffled and a single card randomly drawn. (Use 4...
Before each draw the deck is well shuffled and a single card
randomly drawn. (Use 4 decimals for all answers)
A. What is the probability that the first card drawn is a face card
(a Jack, a Queen, or a King)?
B. What is the probability that the second card drawn is red?
C. What is the probability that the first card drawn is a face-card
AND the second card drawn is red?
D. What is the probability that the...
Q2] (12 Marks): Eight balls, each marked with different whole number from 2 to 9, are placed in a box. Three of balls are drawn at random (with replacement) from box. i. What is the probability that the ball with the number 5 is drawn? ii. What is the probability that the three numbers on the balls drawn are odd? What is the probability of that the sum of the three numbers on the disc is odd. iv. What is...
3. A box contains lotto cards: 20 cards are with letters, 5 are with numbers, and 15 are with pictures. We have taken 2 cards from the box. What are probabilities that we have taken a) 2 cards with pictures c) card with letter and card with number b) at least one card with picture d) no cards with numbers
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,...
2. Consider a standard 52 card deck of playing cards. In total there are four cards that are Aces, four cards that are Kings, four cards that are Queens and four cards that are Jacks. The remaining 36 cards are four each of the numbers 2, 310. That is there are four cards that are twos, four cards that are threes etc. For this question, suppose that we reduce the number of cards in the deck by removing one of...
3. Two boxes each contain three cards. The first box contains cards labelled-1,1 and 2; the second box contains cards labelled-2, -1 and 2. In a game, a player draws one card at random from each box and his score, W, is the product of the numbers on the two cards. w -4 -1 N 4 P(W =w) 1 9 3 9 1 1 9 a) Complete the above table. (4 marks) b) Find P(-2 SW 52). (2 marks) c)...
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?...
1) You start with a full deck of cards, which have been shuffled. You draw cards from the deck, with out replacement, until you get a card other than an ace. What is the expected value of the number of cards drawn? 2) What is the expected number of face cards (jack, queen, or king) in a three card hand drawn at random from a standard deck of cards?
1) You start with a full deck of cards, which have...
Q3 #3 1 Point A hand contains 2 red cards and 3 black cards. A card is selected from the hand and set aside. Then another card is selected and put with the first card. Let X be the number of black cards drawn from the hand (i.e. set aside) during this process. Find Pr[X = 1) O 0.1 O 0.3 00.4 O 0.5 O 0.6
Before each draw the deck is well shuffled and a single card
randomly drawn. (Use 4 decimals for all answers)
A. What is the probability that the first card drawn is a face card
(a Jack, a Queen, or a King)?
B. What is the probability that the second card drawn is red?
C. What is the probability that the first card drawn is a face-card
AND the second card drawn is red?
D. What is the probability that the...
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