### By Milkis - 07.02.2020

## Rolling a die and tossing a coin simultaneously sample space

Write the sample space S and n(S) For a coin, 2 possible result = { Head, Tail } Now when coin is tossed and a die is rolled simultaneously, (2Γ6)= What is the probability that the die shows a composite number or the coin shows A die is rolled and a coin is tossed. Dan rolls a fair dice and flips a fair coin.

Tree Diagram When attempting to determine a sample space, it is often helpful to draw a diagram which illustrates how to arrive rolling a link and tossing a coin simultaneously sample space the answer. One such diagram is a tree diagram.

A tree diagram is a drawing with "line segments" pointing out all of the different possible "paths" for the outcomes. In addition to helping determine the number of outcomes in a sample space, rolling a die rolling a die and tossing a coin simultaneously sample space tossing a coin simultaneously sample space tree diagram can be used to determine the probability of individual outcomes within the sample space.

The probability of any outcome in the sample space is the product multiplication of all probabilities along a path that represents that outcome on the tree diagram.

Show the sample space for tossing one penny and rolling one die. There will be two outcomes: heads, H, or tails T.

This will be the beginnings of two different paths. Now, from each outcome H or Troll one die. There will be 6 possible outcomes from the roll.

By following the different paths in the tree diagram, the sample space will be formed. There are three children in a family.

How many outcomes can represent the order in which the children may have been born in relation to their gender.

How many outcomes will be in the sample space indicating the gender of the children? Sample Space:.

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