1. A survey is taken by 200 people. 90 people like red and 110 people dislike red. If you randomly choose a person what is the chance they will like red? Fraction simplest form.
2.Word CLEAN is put on paper and put in a hat. What is probability you will choose a vowel? Answer as percent
3. You flipped a count 20 times and got a tail 13 of those times. What is the experimental probability of getting a heads? (ratio simplest form)
4. Flipped 3 pennies and did this 100 times. You got 3 tails 40 times. What is the difference between the experimental probability of getting 3 tails and the theoretical probability? (simplified fraction)
5. A single coin is tossed 500 times. Tails was observed 200 times. What is the long-run relative frequency of Heads? Decimal form
1. Liked red: 90 people
Total people surveyed: 200 people
Probability of liking red = Liked red / Total people surveyed
Probability of liking red = 90/200
Probability of liking red = 9/20
2. Vowels in CLEAN: E, A
Total vowels: 2
Total letters: 5
Probability of choosing a vowel = Total vowels / Total letters
Probability of choosing a vowel = 2/5
Probability of choosing a vowel = 0.4 or 40%
3. Heads flipped: 20 - 13 = 7 times
Experimental probability of getting a heads = Number of heads / Total flips
Experimental probability of getting a heads = 7/20
4. Experimental probability of getting 3 tails = 40/100 = 2/5
Theoretical probability of getting 3 tails = (1/2)^3 = 1/8
Difference = Experimental probability - Theoretical probability
Difference = 2/5 - 1/8
Difference = 16/40 - 5/40
Difference = 11/40
5. Total flips = 500
Heads observed = 500 - 200 = 300 times
Long-run relative frequency of heads = Heads observed / Total flips
Long-run relative frequency of heads = 300/500
Long-run relative frequency of heads = 0.6 or 60%