Question

Please please help me with this question please

1. Define theoretical probability


2. What is the probability of each of the following?

a) picking the 9 of clubs from a deck of cards————- (fraction)

b) flipping heads with a coin ————-(decimal)

c) picking a diamond from a deck of cards
———-—-(percent)

d) rolling a 3 with 1 die ———(fraction)


e) rolling an even number with 1 die ———————(decimal)

f) flipping heads or tails with a coin —————(percent)


3. Define experimental probability.

Answer 1

1. Theoretical probability is the probability or likelihood something will happen based on reasoning and expectations.

3. Experimental probability is the probability that something actually happened based on an experiment being done multiple times.

2.

a) 1/52

b) 0.5

c) 25%

d) 1/6

e) 50%

f) 100%

Explanation:

2.

a) There are 52 cards in a deck of cards, and you are pulling one specific card. There is only one 9 of clubs in the deck of 52 cards. 1/52

b) There are only two options for flipping a coin, heads and tails. 1/2 = 0.5

c) 1/4 of the deck of cards are diamonds, and 1/4 = 25/100 = 25%

d) one die has 1, 2, 3, 4, 5, 6 as options. Rolling a 3 is a 1 out of 6 chance = 1/6

e) Again, our options are 1, 2, 3, 4, 5, 6. Of those, 2, 4, 6 are even. 3 out of 6 chance it is even. 3/6 = 1/2 = 0.5

f) There are only two options, heads or tails. Landing on either heads or tails is guaranteed...so 100%

Please let me know if you have questions.