Probability preguntas y respuestas

As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: 1) A(n) 9 of Spade s? 2) A Spade or Heart? 3) A number smaller than 9 (counting the ace as a 1)?

If \( f(x)=k(1-x) \quad 0<x+1 \) Find \( P(x>0.25) \)

A poll showed that \( 50.8 \% \) of Americans say they believe that statistics teachers know the true meaning of life. What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "\%" symbol.

A die is rolled. Find the probability of the given event. (a) The number showing is a 5 ; The probability is: (b) The number showing is an even number; The probability is : (c) The number showing is greater than 2 ; The probability is :

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 5 The probability is : \( \frac{1}{53} \) (b) The card drawn is a face card (Jack, Queen, or King) The probability is : (c) The card drawn is not a face card. The probability is:

Tickets for a raffle cost \( \$ 11 \). There were 730 tickets sold. One ticket will be randomly selected as the winner, and that person wins \( \$ 1400 \) and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places. Expected Value \( =\$ \$ \)

Tickets for a raffle cost \( \$ 10 \). There were 758 tickets sold. One ticket will be randomly selected as the winner, and that person wins \( \$ 1600 \) and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places. Expected Value = \( \$ \)

Tickets for a raffle cost \( \$ 6 \). There were 624 tickets sold. One ticket will be randomly selected as the winner, and that person wins \( \$ 1100 \) and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places. Expected Value \( =\$ \$ \)

Tickets for a raffle cost \( \$ 12 \). There were 693 tickets sold. One ticket will be randomly selected as the winner, and that person wins \( \$ 1800 \) and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places. Expected Value \( =\$ \square \)

A person must pay \( \$ 4 \) to play a certain game at the casino. Each player has a probability of 0.23 of winning \( \$ 14 \), for a net gain of \( \$ 10 \) (the net gain is the amount won 14 minus the cost of playing 4 ). Each player has a probability of 0.77 of losing the game, for a net loss of \( \$ 4 \) (the net loss is simply the cost of playing since nothing else is lost). What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places. Expected Value \( =\$ \square \) If a person plays this game a very large number of times over the years, do we expect him/her to come out financially ahead or behind? behind ahead