Question

Give the sample space describing all the outcomes. Then give all of the out comes for the event that the number 3 chosen. Use the format H1 to mean that the coin toss is heads and the number chosen is 1. If there is more than one element in the set separate them with commas

Answer 1

Step-by-step explanation

The sample space is composed of all the possible outcomes i.e. of all the possible combinations between the result of tossing the coin and picking the card. There are two possible outcomes for the coin and four for the cards so there will be 8 different combinations in the saple space. These are:

`H1,H2,H3,H4,T1,T2,T3,T4`

Then we must show all the outcomes where the card with the 3 is picked. This set is composed of all the elements with a 3 in the list above. There are two:

`H3,T3`Answers

Then the answers are:

Sample space: {H1,H2,H3,H4,T1,T2,T3,T4}

Event that the number chosen is 3: {H3,T3}