Probability Basics
What is the probability of an impossible event happening, expressed as a number?
0
A bag contains 3 red marbles and 7 blue marbles. What is the probability of picking a red marble as a fraction?
3/10
In the expression 54, what is the specific term for the number 5, and what is the term for the number 4?
Base (5) and Index, Power or Exponent (4)
25
32
Write 2 x 2 x 2 x 3 x 3 using index notation.
23x32
If an event is certain to happen, what is its probability expressed as a percentage?
100%
What is the probability of rolling a number greater than 4 on a standard 6-sided die in simplest fraction form?
1/3
Simplify into a single power using a laws: a4 x a3
a7
104
10,000
If a letter is chosen at random from the word "MATHEMATICS", what is the probability of picking a vowel in simplest fraction form?
4/11
What is the mathematical term for the list of all possible outcomes in a probability experiment?
Sample space
The probability that it rains tomorrow is 0.35. What is the probability that it does NOT rain tomorrow?
0.65 (or 65%)
Simplify into a single power using index laws: y9 / y3
y6
33+ 42
43
Simplify completely: (6x7) / (2x3)
3x4
True or False: If you flip a fair coin 5 times and get Heads every time, the 6th flip is more likely to be Tails.
False (Each flip is independent with a 50% chance)
A spinner is divided into 8 equal sections numbered 1 to 8. What is the probability of spinning a prime number in simplest fraction form?
1/2
According to the zero index law, what is the value of any non-zero number raised to the power of zero?
1
Evaluate √81 x 23
72
A fair 6-sided die is rolled twice. How many total possible outcomes are in the sample space?
36
Express the probability of rolling an even number on a standard 6-sided die as a fraction in simplest form.
1/2
From a standard deck of 52 playing cards, what is the probability of drawing a Heart or an Ace in simplest fraction form?
4/13
Simplify into a single power: (32)4
38
Evaluate: 53 - 102 + 70
26
Calculate the value of: (2 + 3)2 - 23 x 0.5
21