Select the following statement that describesoverlappingevents.

• Amanda understands that she cannot get a black diamond when playing poker.
• Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
• Amanda rolls a three when she needed to roll an even number.
• Amanda wants a black card so she can have a winning hand, and she receives the two of hearts.

Sadie is selecting twopieces of paper at random from the stack of colored paper in her closet.The stack contains several sheets of each ofthe standard colors: red, orange, yellow, green, blue, and violet.

All of the following are possible outcomes for Sadie's selection, EXCEPT:

1. Green, violet
2. Blue, black
3. Red, red
4. Orange, yellow

The average number of road accidents that occur on a particular stretch of road during a month is 7.

What is the probability of observing exactly three accidents on this stretch of road next month?

• 0.048
• 0.023
• 0.020
• 0.052

Which of the following is a property of binomial distributions?

• The sum of the probabilities of successes and failures is always 1.
• The expected value is equal to the number of successes in the experiment.
• There are exactly three possible outcomes for each trial.
• All trials are dependent.