Question

Your science teacher sets up six flasks. Two of the flasks contain water and four of the flasks contain hydrogen peroxide. A reaction occurs when you add yeast to hydrogen peroxide. You add yeast to two of the flasks. What is the probability that at least one reaction will occur?

Answer 1

Answer:

i think ur yeast might  bubble up and spill out of the flasks because hydrogen peroxide help kill bacteria that might be forming in ur wound and the least reaction will be the water because it depends on the temperature of the water

Answer 2

Answer:  $\dfrac{14}{15}$

Step-by-step explanation:

Given:  Total number of flasks = 6

Number of flasks contain water =2

Number of flasks contains hydrogen peroxide =4

Total outcomes :Combination of 2 flasks out of 6 :-

$^6C_4=\dfrac{6!}{4!(6-4)!}\ \because ^nC_r=\dfrac{n!}{(n-r)!}$

$=\dfrac{6\times5}{2}=15$  

Favorable outcomes : Combination of 2 flasks with at least one with hydrogen peroxide:

$^2C_1\cdot\ ^4C_1+^2C_0\cdot\ ^4C_2\ \ [\because\ ^nC_0=1,\ ^nC_1=n]\\\\=(2)(4)+(1)\dfrac{4!}{2!(4-2)!}\\\\=8+6=14$

Now, the probability that at least one reaction will occur =$\dfrac{14}{15}$

[∵ $\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$]