Question

A box has four cards numbered 1 to 3 and four Hong will toss a coin wants 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 three use the format H1 to mean that the coin tosses heads in the number chosen is one if there is more than one element in the set separate them with commas

Answer 1

Sample Space = {H1, H2, H3, Hfour, T1, T2, T3, Tfour}

O(Card 3 Chosen) = {H3, T3}

Explanation:

A sample space is the set containing all the possible outcomes or results that can occur during an event. In this case the sample space will contain 8 outcomes, and it will be as follows:

Sample Space = {H1, H2, H3, Hfour, T1, T2, T3, Tfour}

Now, it is clear from the sample space that there are total two outcomes in sample space, in which the card numbered 3 is chosen. They are:

O(Card 3 Chosen) = {H3, T3}

where, O represents Outcomes.