Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each statement.​

Step-by-step explanation:

Given

See attachment for complete question

Required

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

--- sample space

--- sample size

--- occurrence of Head

So, the theoretical probability is:

the answer is d. 75%

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560