# Question

Use the definition of “odds” given in Exercise 2.15 to convert each of the following probabilities to odds:

(a) The probability that the last digit of a car’s license plate is a 2, 3, 4, 5, 6, or 7 is 6/10.

(b) The probability of getting at least two heads in four flips of a balanced coin is 11/16.

(c) The probability of rolling “ 7 or 11” with a pair of balanced dice is 29 .

In exercise

The odds that an event will occur are given by the ratio of the probability that the event will occur to the probability that it will not occur, provided neither probability is zero. Odds are usually quoted in terms of positive integers having no common factor. Show that if the odds are A to B that an event will occur, its probability is P = A / A + B

(a) The probability that the last digit of a car’s license plate is a 2, 3, 4, 5, 6, or 7 is 6/10.

(b) The probability of getting at least two heads in four flips of a balanced coin is 11/16.

(c) The probability of rolling “ 7 or 11” with a pair of balanced dice is 29 .

In exercise

The odds that an event will occur are given by the ratio of the probability that the event will occur to the probability that it will not occur, provided neither probability is zero. Odds are usually quoted in terms of positive integers having no common factor. Show that if the odds are A to B that an event will occur, its probability is P = A / A + B

## Answer to relevant Questions

There are 90 applicants for a job with the news department of a television station. Some of them are college graduates And some are not; some of them have at least three years’ experience And some have not, with the exact ...If we let x = the number of spots facing up when a pair of dice is cast, then we can use the sample space S2 of Example 2.2 to describe the outcomes of the experiment. (a) Find the probability of each outcome in S2. (b) ...A sharpshooter hits a target with probability 0.75. Assuming independence, find the probabilities of getting (a) A hit followed by two misses; (b) Two hits And a miss in Any order. A certain college gives aptitude tests in the sciences and the humanities to all entering freshmen. If X and Y are, respectively, the proportions of correct answers that a student gets on the tests in the two subjects, the ...The following are the percentages of tin in measurements made on 24 solder joints: (a) Construct a stem- and- leaf diagram using 5 and 6 as the stem labels. (b) Construct a double- stem display. (c) Which is more ...Post your question

0