Probability

Simple Probability

100

You flip a quarter. What is the probability of landing on tails?

1/2 or 0.5 or 50%

200

A spinner has equal sections numbered 1-6. What is the probability of spinning a 3?

1/6 or 0.1666... or 16.7%

300

Tim's book collection contains 10 books, including 5 biographies. 

If Tim randomly selects a book to read, what is the probability that it will be a biography?

1/2 or 0.5 or 50%

400

A grocery store has 4 raspberry yogurts, 6 strawberry yogurts, and 2 vanilla yogurts.

If you pick a yogurt at random, what is the probability of getting raspberry?

1/3 or 0.333... or 33%

500

A bag of jolly ranchers has 7 apple, 8 blue raspberry, 10 grape, and 5 cherry.

If you pick at random, what is the probability of getting cherry?

1/6 or 0.166... or 16.7%

Independent Vs. Dependent

100

What is the probability of rolling two odd numbers in a row with a standard number cube?

1/4, or 0.25, or 25%

200

Maria is flipping a coin and spinning a spinner. The spinner has 4 equal sections labeled A-D. What is the probability the coin will land on heads and the spinner will land on the letter "A"?

1/8 or 0.125, or 12.5%

300

The classic wood carousel at Carousel Park in Hampton, VA has 32 jumping horses and 16 standing horses. 

What is the probability of randomly selecting a jumping horse first and then selecting a standing horse?

2/9 or 0.22... or 22.2%

400

There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. One marble is taken out and not replaces. A second marble is then taken out and not replaced. What is the probability both marbles that were taken out are red?

1/5, or 0.20, or 20%

500

Jarvonya spins a spinner with 5 equal sections numbered 1-5 and she spins another spinner with 5 equal sections with the letters A-E. What is the probability she will spin a 4 and a B?

1/25 or 0.04, or 4%

Binomial Probability

100

(x+1)⁴

x⁴+4x³+6x²+4x+1

200

Expand

(5+2x)³

125+150x+60x²+8x³

300

You are rolling a die 4 times. What is the probability that you roll 6 3 times. 

5/324=0.015

400

Sheila bought 5 energy bars. Each has 1 in 10 chance of winning aa free energy bar. What is the probability that Sheila will win 3 energy bars?

81/10000=0.0081

500

Sheila bought 5 energy bars. Each has 1 in 10 chance of winning aa free energy bar. What is the probability that Sheila will win at least on energy bar?

0.4095

Inclusive vs Exclusive

100

A bag contains four red marbles, five blue marbles, and 3 yellow marbles. You randomly pick a marble. The marble is red or blue.

3/4

200

A spinner has an equal chance of landing on each of its seven numbered regions. After spinning, it lands in region six or seven.

2/7

300

You roll a fair six-sided die. The die shows an even number or a number greater than 2

5/6

400

A litter of kittens consists of two gray females, two gray males, two black females, and one black male. You randomly pick one kitten. The kitten is female or male.

100%

500

A litter of kittens consists of two gray females, two gray males, two black females, and one black male. You randomly pick one kitten. The kitten is black or male.

5/7

Data

100

Find the mode

1 2 4 3 2 5 9 1 1 2

1 and 2

200

Find the median

1 2 4 3 2 5 9 1 1 2

2

300

Find the mean

1 2 4 3 2 5 9 1 1 2

3

400

Find the standard deviation

1 2 4 3 2 5 9 1 1 2

2.37

500

Is there an outlier

1 2 4 3 2 5 9 1 1 2

no