Given an experiment in which a fair coin is tossed four times, the sample space is S = (HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT). Event Ais defined as tossing no tail (T). What is the event AC and what is the probability of this event?

Question: PROBLEM 1. Consider the following experiment: a fair coin is tossed four times and the outcome of each toss is recorded. The sample space for this experiment is: S = { HHHH, HHHT, THHH, HHTH, HTHH, HHTT, TTHH, HTHT, HTTH, THTH, THHT, HTTT, THTT, TTHT, TTTH, TTTT } QUESTION 1: Find the probability of at most three Tails coming up.

HHHH, HHTH, HTHH, HTTH, THHH, THTH, TTHH, TTTH Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. List the outcomes that comprise the following event.

When a quarter is tossed four times, 16 outcomes are possible. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. The events A and B are defined as follows.

When a coin is tossed four times, sixteen equally likely outcomes are possible as shown below: HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT Let x denote the total number of tails obtained in the four tosses. Find the probability distribution of the random variable x. Leave your probabilities in fraction form.

Give the sample space for a chance experiment with four possible outcomes. (Select all that apply.) 1. picking one of four unique cards: {10, 9, 8, 7}

A coin is tossed four times. Let the random variable X denote the number of tails that occur (a) List the outcomes of the experiment.

Question: A coin is tossed four times and the sequence of heads (H) and tails (T) is recorded (a) Use the generalized multiplication principle to determine the number of outcomes of this activity. outcomes (b) Find all possible sequences: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, …

Question: The sample space given here shows all possible sequences for tossing a fair coin 4 times. The sequences have been organized by the number of tails in the sequence.

Question: When a quarter is tossed four times, 16 outcomes are possible. HHHH HHHT HHTH HATT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads.