1. List a sample space for tossing a fair coin 3 times. Use this list to determine the probability of2 consecutive tails (but not 3). 相关知识点: 试题来源: 解析 The sample space is S=(HHH_3HHT,HTH,THH,TTH,THT,HTT,TTT. P(2 consectuve tails =1/4 ...
Consider the experiment of tossing a coin until a head appears. The possible outcomes areS= {H,TH,TTH,TTTH,…}, whereTrepresents tails andHheads. The number of points in the sample space is infinite. Depending on the experiment, a sample space may be discrete as in the preceding examples...
In the example of tossing a coin, each trial will result in either heads or tails. Note that the sample space is defined based on how you define your random experiment. For example,Example We toss a coin three times and observe the sequence of heads/tails. The sample space here may ...
Experiment 2: Tossing a die S = {1, 2, 3, 4, 5, 6} Now that we understand what a sample space is, we need to explore how it is found. You may have gotten an idea from the previous examples so keep reading to learn more useful strategies to find a sample space. How do we...
A random experiment consists of tossing a coin 4 times. Describe the sample space of this experiment. In what proportion of all outcomes of the experiment will there be exactly 2 heads? Suppose there are three balls in a box. On one ...
We will follow the idea of the previous example in a binomial experiment of tossing a coin. Example 10.2.6 Suppose we are flipping a biased coin, for which the probability of heads p could be any value between 0 and 1. Given a sequence of toss samples, x1,...,xn, we want to estim...
Similarly the probability of getting a tail in two flips that follow each other (are independent) = (1/2)×(1/2) = 1/4 Therefore as the two events i.e. casting the die and tossing the coin are independent, and the probability of both the events = (1/36)×(1/4) = 1/144. Th...
Sample Space - Introduction In daily life, we encounter various activities that have multiple outcomes. Although we cannot predict the exact outcome, we can estimate all possible outcomes of that event or activity. In this tutorial, we will discuss the s