alison is learning how to walk. 50% of the time that she takes a step she falls down. her older brother…

alison is learning how to walk. 50% of the time that she takes a step she falls down. her older brother wants to design a simulation to find the probability she will fall down 5 out of the next 7 times she tries to take step. he sets up a simulation with a flip of a coin where heads represents falling down and tails represents not falling down. for each trial he flipped the coin 7 times. he did this 19 times and his results are recorded in the table. what is the probability that she falls 5 out of the next 7 times she attempts to take step? a $\frac{0}{19}$ b $\frac{3}{19}$ c $\frac{4}{19}$ d $\frac{5}{19}$

alison is learning how to walk. 50% of the time that she takes a step she falls down. her older brother wants to design a simulation to find the probability she will fall down 5 out of the next 7 times she tries to take step. he sets up a simulation with a flip of a coin where heads represents falling down and tails represents not falling down. for each trial he flipped the coin 7 times. he did this 19 times and his results are recorded in the table. what is the probability that she falls 5 out of the next 7 times she attempts to take step? a $\frac{0}{19}$ b $\frac{3}{19}$ c $\frac{4}{19}$ d $\frac{5}{19}$

Answer

Explanation:

Step1: Identify successful trials

Count the number of trials where there are 5 heads (since heads represent falling down) in 7 - coin flips.

Step2: Calculate probability

The probability is the number of successful trials divided by the total number of trials. The total number of trials is 19. By counting the number of rows in the table where there are 5 heads in 7 - coin flips, we find there are 3 such trials. The probability $P=\frac{3}{19}$

Answer:

B. $\frac{3}{19}$