Question

Suppose you draw a card, without putting it back and draw another one. What is the...

Suppose you draw a card, without putting it back and draw another one. What is the probability that the first card is a five and the second is a six? (Enter your probability as a fraction.)

Homework Answers

Answer #1

The required probability is 4/663

het het A denote the event of drawing 5 B denote the event of drawing 6 on first drawn on second draw draw and ... The 6 on probability of second draw getting 5 on first is given by : P(An B) P(ANB) = P(A). P(BIA). Here P(A) = no. of cards with 5 total number of cards P (BIA) = number of cards with 6 total number of cards remaining Si = 4 .., Plane) - 4 663

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You draw two cards from a standard deck of 52 cards without replacing the first one...
You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second. (a) Are the outcomes on the two cards independent? Why? Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.Yes. The events can occur together.    No. The events cannot occur together.No. The probability of drawing a specific second card depends on the identity of the first card. (b) Find P(3...
Suppose two cards are drawn in succession (without replacement) from a standard deck of cards. What...
Suppose two cards are drawn in succession (without replacement) from a standard deck of cards. What is the probability that a face card is drawn first? (Enter your probability as a fraction.) What is the probability that a face card is drawn second, given that a face card was drawn first? (Enter your probability as a fraction.) What is the probability of drawing two cards in succession (without replacement) from a standard deck and having them both be face cards?...
In a card game, suppose a player needs to draw two cards without replacement of the...
In a card game, suppose a player needs to draw two cards without replacement of the same suit in order to win. Of the 52 cards, there are 13 cards in each suit. Suppose first the player draws a heart. Find the probability that the second card is not a heart.
You randomly shuffle a 52-card deck of cards. We will consider what happens as we draw...
You randomly shuffle a 52-card deck of cards. We will consider what happens as we draw 3 cards from the deck to form a sequence of cards (for a - c) or a set of cards (d). Answer each of the following questions, showing all relevant calculations. You should analyze these using tree diagrams, but no need to show the diagrams in your answer. (a) Suppose you draw three cards from the deck with replacement; what is the probability that...
You draw 2 cards from a standard deck of cards without replacement. 1) What is the...
You draw 2 cards from a standard deck of cards without replacement. 1) What is the probability that the second card is a queen given that the first card is a jack? 2) What is the probability that the second card is red given that the first card was a heart? 3) What is the probability that the second card is red given that the first card is red?
4. A. Find the probability of picking a Jack of clubs, putting the card back in...
4. A. Find the probability of picking a Jack of clubs, putting the card back in the pack of 52, and then picking a 6 of spades? b. Find the probability of picking a Jack of clubs, not putting it back, and then picking a 6 of spades. c. How do you distinguish between the two types of events.
Consider a standard 52-card deck. If you draw 25% cards from the deck without replacement. What...
Consider a standard 52-card deck. If you draw 25% cards from the deck without replacement. What is the probability that your hand will contain one ace? What is the probability that your hand will contain no ace?
suppose you draw two cards (a sequence) from a standard 52-card deck without replacement. Let A...
suppose you draw two cards (a sequence) from a standard 52-card deck without replacement. Let A = "the first card is a spade" and B = "the second card is an Ace." These two events "feel" (at least to me) as if they should be independent, but we will see, surprisingly, that they are not. A tree diagram will help with the analysis. (a) Calculate ?(?) (b) Calculate ?(?) (c) Calculate ?(?|?) (d) Show that A and B are not...
1.Suppose that you randomly draw one card from a standard deck of 52 cards. After writing...
1.Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 18 cards in all. What is the probability of drawing at least 5 diamonds? 2.For the experiment above, let ? X denote the number of diamonds that are drawn. For this random variable, find its expected value and standard deviation. ?(?)= σ =
The following exercise refers to choosing two cards from a thoroughly shuffled deck. Assume that the...
The following exercise refers to choosing two cards from a thoroughly shuffled deck. Assume that the deck is shuffled after a card is returned to the deck. If you do not put the first card back in the deck before you draw the next, what is the probability that the first card is a spade and the second card is a heart? (Enter your probability as a fraction.)