Theoretical Probability
You roll a standard number cube, then flip a fair coin. What is the probability of rolling an even number and then landing on heads? (answer as a ratio/fraction)
What is "1/4"! (simplify 3/12 to 1/4)
A jar has 9 blue, 3 red and 1 yellow marbles in it. What is the likelihood of randomly selecting a purple marble? (use words such as likely, unlikely, and so on)
What is "IMPOSSIBLE!"
Define Complement:
What is "the probability of an event NOT happening/occurring"! (must have probability, not, and happening/occurring in their answer)
A bag has all of the letters of the alphabet. What is the likelihood of randomly selecting a consonant (NOT a vowel)? (in numbers)
What is "21 out of 26" or "21/26"!
In an experiment, you flip a fair coin 150 times. You only landing on heads 1/3 (one third) of the time. How many times (frequency) did you land on tails out of 150 total trials?
What is "50"! (150 times 1/3 = 50) or (150 divided by 3 = 50)
A spinner number 1 through 8 is spun. What is the probability of not landing on a number greater than or equal to 5?
What is "5/8"! (3/8 are greater than or equal to 5)
A tank has 4 differently colored fish swimming in it. The colors are yellow, orange, red, and grey. What is the likelihood (in words) of randomly selecting one fish?
What is "Unlikely" or "Less Likely"!
The Three different Sample Spaces are:
What is "Tree Diagram", "Table", or "List"!
A jar has 9 blue, 3 red and 1 yellow marbles in it. What is the likelihood of randomly selecting a purple marble? (in numbers)
What is "0% chance" or "0 out of 10" or "0/10"!
In an experiment, you begin by spinning a spinner labeled A, B, C, D ten times. You land on B 3 times. If you spin the spinner a total of 1,000 times for the entire experiment, what is the experimental probability of landing on B?
What is "300 out of 1,000" or "300/1,000"! (3/10 and 300/1,000 are proportional, so 300 is the answer)
You flip a coin then spin a spinner labeled A, B, C, D. What is the probability of landing on the letter C?
What is "1/4"! (2/8 simplified to 1/4 and it could be heads-C or tails-C)
A bag has all of the letters of the alphabet. What is the likelihood (in words) of randomly selecting a consonant (NOT a vowel)?
What is "Likely" or "Very Likely" or "More Likely"!
Define Theoretical:
What is "the probability of what SHOULD happen in an experiment" ("hypothesis is a synonym but not a definition)
You open a pack of 22 M&Ms. 5 are yellow, 8 are blue, 3 are brown, and the rest are red. What is the likelihood of randomly selecting a yellow or red M&M?
What is "one half" or "1 out of 2" or "1/2" or "50%"! (11/22 simplified to 1/2)
What is "49/50"! (simplify 245/250 to 49/50, and 5/250 or 1/50 are semi-trucks)
A jar has 3 red marbles, 2 green, 1 blue, and 4 yellow marbles. A marble is taken out at random. What is the probability of selecting a green marble?
What is "1/5"! (simplify 2/10 to 1/5)
You open a pack of 22 M&Ms. 5 are yellow, 8 are blue, 6 are red, and 3 are brown. What is the likelihood (in words) of randomly selecting a yellow or red M&M?
What is "Equally Likely"! (Because 5+6=11 out of 22)
The vocabulary word for "the probability of what ACTUALLY happens in an experiment":
What is "Experimental Probability"!
A tank has 20 differently colored fish swimming in it. There are 8 yellow, 4 orange, 3 red, and the rest are grey. What is the likelihood of randomly selecting a grey fish?
What is "1 out of 4" or "1/4" or "25%"! (5/20 simplified to 1/4)
What is "6"! (11+13+5+1=30 and we need 6 more for the experimental probability of vowels = 36/100)
An experiment calls for randomly selecting a marble from a jar and then flipping a coin. The jar has 3 red marbles, 2 green, 1 blue, and 4 yellow marbles. What is the probability of selecting any marble and then landing on tails?
What is "1/2"! (no matter the color, if it lands on tails, that's half of the total possible outcomes)
A box of cupcakes has half with sprinkles, a third with dark frosting, and a fifth have light frosting. What is the likelihood (in words) that someone will randomly grab a cupcake that does not have dark frosting?
What is "Likely" or "Very Likely" or "More Likely"!
The 5 different likelihood vocabulary terms are:
What is "Impossible", "Unlikely (or less likely)", "Equally Likely", "Likely (or more likely", or "Certain (or certainly)"!
A box of cupcakes has half with sprinkles, a third with dark frosting, and a fifth have light frosting. What is the likelihood that someone will randomly grab a cupcake that does not have dark frosting?
What is "Two Thirds" or "2/3" or 2 out of 3" or "66.667%"! (NOT means a complement of one third)
In an experiment, you roll a standard number cube 30 times. Your theoretical and experimental probability for composite numbers were equal. What is the number of trials that you land on a composite number?
What is "10"! (composite numbers on a die are 4 & 6, so 2/6 for the theoretical probability. 2/6 and 10/30 are proportional, so 10 is the answer)