Question

A box has four cards numbered , , , and . Kareem will toss a coin once and record the toss as heads () or tails (). Then he will randomly pick a card from the box and record the number chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the number chosen is . Use the format to mean that the coin toss is heads and the number chosen is . If there is more than one element in the set, separate them with commas.

Answer 1

The sample space describing all possible outcomes is:

{H1, H2, H3, H4, T1, T2, T3, T4}

The outcomes for the event that the coin toss is heads are:

{H1, H2, H3, H4}

Explanation:

If it pertains to using the format H1 to mean that the coin toss is heads and the number chosen is 1.

Answer 2

The sample space describing all possible outcomes is:

{H1, H2, H3, H4, T1, T2, T3, T4}

where H represents heads and T represents tails.

The outcomes for the event that the number chosen is 3 are:

{H3, T3}