Theoretical and Experimental Probability

Select all the true statements about sample spaces.

• The sample space of flipping a coin S = {heads, tails}.

• The sample space of rolling a standard number cube is S = {1,6}.

• The sample space of choosing a letter from the cards, labeled ROYGBIV S = {R,O,Y,G,B,I,V}.

• The sample space of drawing a marble from a bag of 2 red and 3 blue marbles is S = {red, red, blue, blue, blue}.

• The sample space of drawing a gumdrop from a bag of red, green, blue, yellow, and purple gumdrops is S = {red, green, blue, yellow, purple}.

What is the sample space for choosing a letter on the spinner shown?

• S = {1,7}

• S = {A, B, C}

• S = {A, A, B, B, C, C}

• S = {A, A, B, B, C, C}

In a game of cards, a player pulled the following cards. Another player pulls a card from the set. Which of the following lists the sample space for choosing a card from this set?

• S = {3, 5, 8, 9}

• S = {3, 9, 9, 5, 8}

• S = {clubs, spades, hearts, diamonds}

• S = {3 of spades, 9 of clubs, 9 of hearts, 5 of spades, 8 of diamonds}

There are four suits in a standard deck of 52 cards: clubs, spades, hearts, and

diamonds. What is the probability of randomly choosing a heart from a standard deck?

• 1/52
• 1/4
• 1/26
• 1/13

Tags

CCSS.7.SP.C.7B

A spinner is divided into 8 equal sections. Find the theoretical probability of spinning a

number less than 6.

• 1/2
• 3/8
• 7/8
• 5/8

Tags

CCSS.7.SP.C.7A

A spinner has eight equal-sized sections: 4 blue and 4 red. It was spun

250 times and the pointer landed on a red section 110 times. Select all of the

statements that are true.

• The spinner landed on red fewer times than expected.

• The theoretical probability of landing on red or blue is 50%.

• The experimental probability of landing on red or blue is equal to the

  theoretical probability.

• The theoretical probability of landing on red is 6% greater than the

  experimental probability.

• The experimental probability of landing on blue is greater than the theoretical

  probability.

A six-sided number die is rolled 150 times when playing a game. The results of the

experiment are shown in the table.

• The experimental probability of rolling a 6 is equivalent to the theoretical

  probability.

• The experimental probability of rolling a 4 is less than the theoretical

  probability.

• The experimental probability of rolling a 3 is greater than the theoretical

  probability.

• The experimental probability of rolling a 1 is equal to the theoretical

  probability.

• The experimental probability of rolling an odd number is equivalent to the

  experimental probability of rolling an even number.

3. Myla has a bag of 500 chocolate candies with 5 candies of each color. She randomly selected 160 pieces from the bag and the results are displayed in the table below. For which color is the theoretical probability higher than the experimental probability?

• green
• red
• blue
• orange
• yellow