Purchase Solution

A standard deck of cards contain a total of 52 cards, 26 of which are red and 26 of which are black

Not what you're looking for?

Ask Custom Question

1. A standard deck of cards contain a total of 52 cards, 26 of which are red and 26 of which are black. A standard die has six sides that are equally likely to come up and are numbered from 1 to 6. A game is played where a single card is drawn from a standard deck and the color is recorded. A standard die is also rolled and the number facing up is recorded.

a. Write out the sample space for this game.
b. Identify all the outcomes where a red card is drawn with a roll of an even number.
c. A person wins the game if they draw a red card and roll and even number. What is the probability of winning this game?

Purchase this Solution
Solution Summary

The expert writes out the sample space for this time. The outcomes where a red card is drawn with a roll of an even number is identified. The probability of winning a game is determined.

Solution Preview

1. A standard deck of cards contain a total of 52 cards, 26 of which are red and 26 of which are black. A standard die has six sides that are equally likely to come up and are numbered from 1 to 6. A game is played where a single card is ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

View More Free Quizzes
Related BrainMass Solutions

  • Probability

    29889 Probability Take a deck of cards. A deeck has 52 cards with two major colors(Red and Black), with 26 cards each. Red colors comes in two shapes(heart and diamond), while black color shapes are called clubs and spades.

  • Explain Characteristic Space for Experiments

    Two cards are drawn form a standard deck of 52 cards. Explain why each of the following sets is not a Sample Space for this experiment.

  • Probability questions with cards, Tree diagrams vs Tables

    Probability that both cards are red = 1/2 x 1/2 = 1/4 Note that there 26 red cards and 26 black cards in the pack. Thus, chance of a red card = 26/52 = 1/2. 2.

  • Probability

    (a) P(Red, black) = (26/52) * (26/51) = 13/51 (b) P(Ace, ace) = (4/52)(3/51) = 1/221 (4) There are 7 cards. There are P(7, 4) = 840 possible arrangements of the 7 cards taken 4 at a time.

  • Card Trick Probabilities

    Note that there are four Queens two of which are in the red suits. So, in total, there are 26+2=28 cards are a red suit or queen.

  • Probability of seven cards

    P(5 green apples) = 126/3003 = 6/143 P(At least one red apple) = 1 - 6/143 = 136/143. (3) A deck has 26 red cards, 26 black cards. There are 4 aces in a deck.

  • Conditional Probability of Drawing Different Kinds of Cards

    432028 Conditional Probability of Drawing Different Kinds of Cards A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).

  • Probability of Card Selection

    A red card Since there are 26 red cards out of 52 cards (13 heart cards and 13 spade cards), the probability of getting a red card is 26/52=1/2 The probability of card selection is examined.

  • Find the probability of selecting an eight

    280391 Find the probability of selecting an eight A card is selected from a standard deck of 52 playing cards. Find the probability of selecting an eight given the card is a not a face card. (An ace is not a face card.)

View More Related Solutions