Usqqe format HTH to mean that the first toss is heads, the second is tails and the third is heads more than one element in the set, separate them with commas

Question

asked Aug 24, 2023 63.2k views

1 Answer

Dviros · Answer 1 · 2023-08-28T16:36:04+0000

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: State the number of outcomes possible for three tossing of a coin

Since a coin has two possible outcomes and is tossed three times, the total outcomes will be:

$\begin{gathered} 2^3=8 \\ 8\text{ outcomes} \end{gathered}$

STEP 2: Find the number of sample spaces for the three tosses

STEP 3: Get the outcomes of the events for which the second toss is tails

Hence, the answers are given as:

Sample Space:

$\lbrace HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\rbrace$

The event that the second toss is tails:

$\lbrace HTH,HTT,TTH,TTT\rbrace$