You have all the letters of the alphabet in a box You must select the letters to

Question

You have all the letters of the alphabet in a box You must select the letters to spell the word "DANGER" to display in front of a live wire. a. What is the probability of selecting just those letters as your first six selections? b. What is the probability of selecting those letters in order as your first six selections? The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible come pairs are given in the accompanying two-way table. From the table above, determine the probability of:

Explanation / Answer

1(a)

There are 26 letters in the box so total number of ways of selecting 6 letters out of 26 is C(26,6) = 230230

In these possible ways we can select requried 6 letters in one way so requried probability is 1 / 230230 = 0.0000043

(b)

Number of ways 6 letters out of 26 letters, such that order of letters is important is P(26,6) = 165765600

Out of these possible ways there is only way to draw 6 letter in desire order so required probability is

1 / 165765600

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