Question

Which of the following is an outcome?
A.Rolling a pair of dice.
B.Landing on red
C.Choosing two marbles from a jar
D.None of the above

Answer 1

Hint: First, we will understand experiments and outcome with examples. Then we will check for each option whether it is an outcome or not. And then we know the answer.

Complete step-by-step answer:
An experiment is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes. For example, tossing a coin is an experiment.
An outcome is a result of an experiment or trial. For example, when we toss two coins, the possible outcomes are
\[\left( {H,{\text{ }}H} \right),{\text{ }}\left( {T,{\text{ }}T} \right),{\text{ }}\left( {H,{\text{ }}T} \right)\] and \[\left( {T,{\text{ }}H} \right)\]. Here, H stands for heads and T stands for tails.
Rolling a pair of dice is an experiment. And here the outcome is what we get after rolling a pair of dice. There are 36 possible outcomes for this experiment. Hence, rolling a pair of dice is not an outcome.
Landing on red is an outcome because it is a consequence of executing an experiment.
Choosing two marbles from a jar is again an experiment because we have to choose two marbles from a jar and we do not know how many marbles are there in the jar.
Hence, option (B) is a correct option.

Note: An outcome is a possible result of an experiment. All the possible outcomes of an experiment form the elements of sample space.
In the above explained example, of tossing two coins, the possible outcomes are \[\left( {H,{\text{ }}H} \right),{\text{ }}\left( {T,{\text{ }}T} \right),{\text{ }}\left( {H,{\text{ }}T} \right)\] and \[\left( {T,{\text{ }}H} \right)\]. So, the sample space is \[S = \left\{ {\left( {H,{\text{ }}H} \right),\left( {T,{\text{ }}T} \right),{\text{ }}\left( {H,{\text{ }}T} \right),{\text{ }}\left( {T,H} \right)} \right\}\].