Of the twenty-five balls in the box, five are both gray and marked with a number that is a multiple of 3 (3, 6, 90), as seen in the figure below:

This makes the probability of drawing one of these balls

.

Terry will collect $10,000 if he rolls a four or higher. As can be seen in the diagram below, out of thirty-six equally probable outcomes possible with the roll of two fair six-sided dice, there are only three rolls unfavorable to this outcome, and thirty-three favorable:

This makes the odds 

, or 11 to 1, in favor of $10,000 being collected on this turn.

Dick knows 10 of the cards the deck - the eight in his hand, and the two in the discard pile. Of the other  cards, the following are playable:

The four eights;

The other three sixes (hearts, clubs, spades); and,

The other ten diamonds (the six and the seven have been played, and the eight of diamonds has already been counted).

This makes

of the 42 cards playable, so the probability that a playable card will be drawn is .

Brenda knows nine of the cards - the one in the discard pile and the eight in her hand. Therefore, the next card can be one of  different cards. The playable cards are:

The four eights;

The other three twos (hearts, spades, diamonds); and,

The other eleven clubs (the two has been played, and the eight of diamonds has already been counted).

This makes

of the 42 cards playable, so the probability that a playable card will be drawn is .

First, calculate the total number of marbles in the jar, which is . Because 3 of the marbles are blue, the chances of picking a blue marble .

In order for the roll to add up to 3 or less, neither die can come up 3 or 4. Therefore, we look at the probabilities that each die can come up 1 and 2.

The six-sided die comes up 1 with probability ; it comes up 2 with probability .

The six-sided die comes up 1 with probability ; it comes up 2 with probability .

A roll of 3 or less can happen three ways:

Case 1: Both dice come up 1. The probability of this, by the Multiplication Principle, is 

Case 2: The six-sided die comes up 1 and the eight-sided die comes up 2. The probability of this, by the Multiplication Principle, is 

Case 3: The six-sided die comes up 2 and the eight-sided die comes up 1. The probability of this, by the Multiplication Principle, is 

These are mutually exclusive events, so add these probabilities: 

The data has two large outliers that are to high compare to the rest of the data.  That means they fall far to the right of the distribution.  This leads to a right tail for the data curve and that makes it skewed to the right.

The mode of a bar chart is the bar that is the tallest since it is the one that occurs the most.  

In this data set,  visitors is the mode since it occured a total of  days and that is the most.