Probability Questions & Answers

1. Représenter la situation par un arbre de probabilité.

25. Each morning Gataro does one of the following exercises: \( \quad \) cycling, jogging or weightlifting. He chooses the exercise to do by rolling a fair die. The faces of the die are numbered \( 1,1,2,3,4 \) and 5 . If the score is 2,3 or 5 , he goes for cycling. If the score is 1 , he goes for jogging. If the score is 4 , he goes for weightlifting. (a) Find the probability that: (i) on a given morning, hoes for cycling or weightlifting: (ii) on two consecutive mornings he goes for jogging.

A city council is composed of 5 liberals and 3 conservatives. Three members are to be selected randomly (a) How many delegations are possible? \( \square \) (b) How many delegations could have all liberals? (c) How many delegations could have 2 liberals and 1 conservative? \( \square \) (d) If 1 member of the council serves as mayor, how many delegations are possible that include the mayo \( \square \)

\( 1 \leftarrow \quad \begin{array}{l}\text { Evaluate the expression. } \\ \mathrm{C}(12,7) \\ \mathrm{C}(12,7)=\square\end{array} \)

\( 1 \leftarrow \quad \begin{array}{l}\text { Evaluate the expression. } \\ \mathrm{C}(8,3) \\ \mathrm{C}(8,3)=\square\end{array} \)

One game requires you to pick 1 club, 1 diamond, 1 spade, and 1 heart, in that order, from the 13 cards in each suit. W. The probability is \( \square \). . Type an integer or a fraction.)

The table gives the results of a survey of freshmen from the class of 2006 at a number of colleges and univ Number of Colleges Applied To Percent (as a decimal) Using the percents as probabilities, find the probability of the event for a randomly selected student: the stu The probability that a randomly selected student applied to fewer than 4 colleges is

A card is drawn at random from an ordinary deck of cards. Find the probabilities in parts (a)-(d). (a) The card is a diamond. (b) The card is not a diamond. (c) The card is a diamond or a heart. (d) The card is a diamond or a numbered card. (e) What are the odds in favor of drawing a diamond? (a) The probability that the card is a diamond is (Simplify your answer.) (b) The probability that the card is not a diamond is (Simplify your answer.) (c) The probability that the card is a diamond or a heart is \( \square \). (Simplify your answer.) (d) The probability that the card is a diamond or a numbered card is \( \square \). (Simplify your answer.) (e) The odds in favor of drawing a diamond are \( \square \) to \( \square \). (Simplify your answers.)

Evaluate the expression. \( P(12,6) \) \( P(12,6)=\square \)

(b) What is the probability that in a random sample of 900 adults, more than \( 37 \% \) do not own a credit card? The probability is 0.50 . (Round to four decimal places as needed.)