Sample Space

Front

What is a sample space in probability?

Back

The sample space is the set of all possible outcomes of a probability experiment.

Front

Define an event in the context of probability.

Back

An event is a specific outcome or a set of outcomes from the sample space.

Front

What is the difference between a simple event and a compound event?

Back

A simple event consists of a single outcome, while a compound event consists of two or more simple events.

Front

How do you represent a sample space for a coin toss?

Back

The sample space for a coin toss is {Heads, Tails}.

Front

What is the sample space for rolling a six-sided die?

Back

The sample space for rolling a six-sided die is {1, 2, 3, 4, 5, 6}.

Front

What is the probability of getting heads in a single coin toss?

Back

The probability of getting heads is 1/2 or 50%.

Front

Explain the concept of equally likely outcomes.

Back

Equally likely outcomes are outcomes that have the same chance of occurring.

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event is calculated as P(E) = Number of favorable outcomes / Total number of outcomes.

Front

If a sample space has 10 outcomes and 3 are favorable, what is the probability of the event?

Back

The probability of the event is 3/10 or 30%.

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one event does not affect the occurrence of the other.