2020 Math Academic Superbowl-Probability

Clara picks a marble at random from a bag of 30 marbles, puts it back, and then picks another marble at random. This example is ________________.

• Dependent

• Independent

Victor picks a card at random from a standard deck. Without putting the first card back, he picks a second card at random. This example is ___________________.

• Dependent

• Independent

Determine if the events are mutually exclusive or overlapping: Rolling a 6 or an odd number

• Mutually exclusive

• Overlapping

Determine if the events are mutually exclusive or overlapping: Drawing a red or an ace from a deck of cards

• Mutually exclusive

• Overlapping

You flip a nickel three times.

Find the probability that all flips will land on tails.

• 1/2

• 1/4

• 1/6

• 1/8

What is the probability of spinning green?

• 1/3

• 1/4

• 1/2

• 3/11

The letters that form the word MATHEMATICS are placed individually in a bowl. When selecting a letter from the bowl, what is the probability of choosing a vowel?

• 16/121

• 4/11

• 3/11

• 5/11

40% of students in a school wore blue on a Spirit Day. If two students are randomly selected, what is the probability that both students will not be wearing blue?

• 0.16

• 0.36

• 0.24

• 0.60

When would you expect the experimental probability of an event to get closer to equaling the theoretical probability of the event?

• When there are exactly 50 trials in the experiment.

• The fewer the number of trials in the experiment.

• The larger the number of trials in the experiment.

• This can't be determined.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12

• 1/4

• 1/8

• 1/2