which of the following values could represent the probabilities of complementary events?\no $\frac{1}{7}$…

which of the following values could represent the probabilities of complementary events?\no $\frac{1}{7}$ and $\frac{2}{7}$\no 28% and 82%\no $\frac{2}{5}$ and $\frac{3}{5}$\no 10% and 80%

which of the following values could represent the probabilities of complementary events?\no $\frac{1}{7}$ and $\frac{2}{7}$\no 28% and 82%\no $\frac{2}{5}$ and $\frac{3}{5}$\no 10% and 80%

Answer

Explanation:

Step1: Recall probability property of complementary events

The sum of the probabilities of complementary events is 1.

Step2: Check each option

  • Option 1: $\frac{1}{7}+\frac{2}{7}=\frac{3}{7}\neq1$.
  • Option 2: $28% + 82%=110%\neq1$.
  • Option 3: $\frac{2}{5}+\frac{3}{5}=\frac{2 + 3}{5}=1$.
  • Option 4: $10%+80% = 90%\neq1$.

Answer:

$\frac{2}{5}$ and $\frac{3}{5}$