Suppose a fair six-sided die is rolled and then a card from a standard 52-card deck is chosen in random. What is the probability of the die showing a six and the chosen card being a king?
Suppose a fair six-sided die is rolled and then a card from a standard 52-card deck...
Suppose a fair six-sided is rolled and then a card from a standard 52-card deck is chosen in random. What is the probability of the die showing a one or a two and the chosen card being an ace? You must explain your work through words and/or formula(s).
In this experiment, both a fair four-sided die and a fair six-sided die are rolled (these dice both have the numbers most people would expect on them). Let Z be a random variable that represents the absolute value of their difference. For instance, if a 4 and a 1 are rolled, the corresponding value of Z is 3. (a) What is the pmf of Z? (b) Draw a graph of the cdf of Z
14. Suppose two cards are drawn at random from a 52-card deck of playing cards without replacement. What is the probability the second card is an ace given that the first card is a king (6) 15. Suppose the snake bite fatality rate in India is o.15. If two people in India are bitten by a snake and selected at random, (A) a) What is the probability both people will die? b) What is the probability that exactly person will...
If a coin is tossed 5 times, and then a standard six-sided die is rolled 4 times, and finally a group of two cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
If a coin is tossed 2 times, and then a standard six-sided die is rolled 2 times, and finally a group of two cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
If a coin is tossed 2 times, and then a standard six-sided die is rolled 3 times, and finally a group of four cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
If a coin is tossed 3 times, and then a standard six-sided die is rolled 4 times, and finally a group of four cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a total of 5? B) Suppose I roll two fair six-sided die and I announce that the sum of the two die is 6 or less. What is the probability that I rolled a total of 5?
3. (5.4) Suppose that two cards are randomly selected from a standard 52-card deck. a) What is the probability that the first card is a king and the second card is a king if the sampling is done without replacement? b) What is the probability that the first card is a king and the second card is a king if the sampling is done with replacement? (With replacement means the card is put back into the deck after the first...
3. A fair coin is tossed, and a fair six-sided die is rolled. What is the probability that the coin come up heads and the die will come up 1 or 2? A. 1/2 B. 1/4 C. 1/6 E. 1/3