Liz flips a coin 90 times. The coin lands heads up 36 time and tails up 54

Theoretical probability of landing heads up = 50%

Experimental probability of landing heads up = 40%

Step-by-step explanation:

Complete Question:

Liz flips a coin 90 times. The coin lands heads up 36 time and tails up 54. Find the theoretical and experimental probability of landing heads up.

Theoretical Probability:

Theoretical probability as its name indicates is the probability of occurrence of an event as we expect it to happen according to the theory or our understanding.

For example, when we flip a coin there are two possible outcomes, landing on head or landing on tail. Since, probability is defined as ratio of favorable outcomes to total number of outcomes, the theoretical probability of landing heads up is 1 by 2 i.e 0.5 or 50%. The value of theoretical probability stays the same despite the number of trials performed.

Experimental Probability:

Experimental probability if the probability of occurrence of an event as demonstrated in the experiment being performed. Liz flip a coin 90 times and landed on heads up 36 times.

In this case, the number of favorable outcomes is the number of times the coin landed heads up which is 36. Total number of outcomes is the total number of times the coin was flipped which is 90.

Therefore, the experimental probability of landing heads up is

Thus, the experimental probability of landing heads up is 40% for the given experiment.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional