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 ...
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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 ...
We can also use a tree diagram to find the sample space of an experiment. The branches show combinations of results of separate activities that make up an outcome. Experiment 5: Flipping a coin and tossing a dice From this diagram we can read off the 12 possible outcomes in the sample ...
A fair coin is tossed 4 times. How many outcomes are there in the sample space? Cards are drawn at random and with replacement from an ordinary deck of 52 cards until a spade appears. (a). What is the probability that at least t...
We can calculate the probability of an event from a sample space easily by using the probability formula for equally likely events. What if there are events in the sample space that are totally unrelated? What if there are two coins? The result of one experiment is totally independent of ...
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...
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