Calculating Probability: Coin and Die Tossing Scenarios

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Homework Help Overview

The problem involves calculating probabilities based on a sequence of events involving a coin toss and a die roll. The specific questions focus on finding the probability of obtaining two heads and the probability of rolling an even number after the coin toss.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the probability of getting two heads by multiplying the probabilities of individual coin tosses. They express uncertainty regarding the second question about rolling an even number.
  • Some participants question what conditions must be met for an even number to appear and suggest considering the probabilities of those events.
  • Others explore the relationship between the coin toss outcome and the subsequent die roll.

Discussion Status

The discussion is ongoing, with participants providing hints and exploring different approaches to the problems. Some guidance has been offered regarding the conditions necessary for obtaining an even number, but no consensus has been reached on the final probabilities.

Contextual Notes

The original poster notes that they have no specific homework equations to reference, which may limit their approach to the problem.

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A fair coin is tossed. If the upface is a head, the coin is tossed again. If the upface is a tail, then a fair die is tossed.

1. Find P(2heads)
2. Find p(an even number appears)



2. Homework Equations ..none



My attempt at a solution...Probability of getting 1 head is 1/2. So two heads would be 1/2 times 1/2=1/4? And I have no idea for the 2nd question...please help!
 
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Hint: What two things have to happen for an even number to appear? What are their probabilities? So...
 
To get an even number, the upface should be tail (p=1/2) and roll an even number on a fair die (1/6x3even numbers on a die)... 1/2x1/6x3...so is 1/4 correct?
 
Yes.
 

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