Question

Pastries made by Marie in the previous week from Monday to Sunday are
$5,6,3,4,7,8,9$ respectively.

On the basis of this data, calculate the experimental probability that Marie prepares less than $7$ pastries for the previous week.

• A. $\frac{3}{7}$
  
• B. $\frac{4}{7}$
  
• C. $\frac{5}{7}$
  
• D. $\frac{6}{7}$
  

Answer 1

The correct option is B $\frac{4}{7}$


The number of pastries made by Marie in the previous week from Monday to Sunday is given as:
$5,6,3,4,7,8,9$

Numbers in the above data less than $7$ are: $5,6,3,4$

Days	Number of Pastries
$\text{Monday}$	$\text{5}$
$\text{Tuesday}$	$\text{6}$
$\text{Wednesday}$	$\text{3}$
$\text{Thursday}$	$\text{4}$
Friday	7
Saturday	8
Sunday	9

There would be $4$ days out of $7$ days in which the number of pastries made by Marie is less than $7$.

Let $\text{P(<7)}$ denotes the experimental probability of the number of pastries less than $7$.

$\text{P(<7)}=\frac{4}{7}$

The experimental probabilty that Marie prepares less than $7$ pastries in the previous week is $\frac{4}{7}$.

Therefore, option (b.) is the correct answer.