Question

Following cards are put face down: $\mathrm{A}\mathrm{E}\mathrm{I}\mathrm{O}\mathrm{U}$. What is the chance of drawing out

(1) A card marked $\mathrm{U}$?

(2) A vowel?

(3) $\mathrm{A}$ OR $\mathrm{I}$?

(4) A consonant?

Answer 1

Step 1: Finding the probability of drawing card $\mathrm{U}$.

Therefore total number card is $5$.

Total no of card marked $\mathrm{U}$ is $1$

$\therefore P\left(E\right)=\frac{1}{5}$

Therefore the probability of drawing card $\mathrm{U}$ is $\frac{1}{5}$

Step 2: Find the probability of drawing a vowel card.

Therefore total number card is $5$.

Total no of vowel card is $5$

$\therefore P\left(E\right)=\frac{5}{5}=1$

Therefore the probability of drawing vowel card is $1$.

Step 3: Find the probability of drawing card $\mathrm{A}$ or $\mathrm{I}$.

Therefore total number card is $5$.

Total no of card marked $\mathrm{A}$ or $\mathrm{I}$ is $2$

$\therefore P\left(E\right)=\frac{2}{5}$

Therefore the probability of drawing card $\mathrm{A}$ or $\mathrm{I}$ is $\frac{2}{5}$

Step 4: Find the probability of drawing a consonant card.

Therefore total number card is $5$.

Total no of consonant card is $0$

$\therefore P\left(E\right)=\frac{0}{5}=0$

Therefore the probability of drawing consonant card is $0$.

Hence, the probability of drawing

(1) A card marked $\mathrm{U}$ is $\frac{1}{5}$

(2) A vowel is $1$

(3) $\mathrm{A}$ OR $\mathrm{I}$ is $\frac{2}{5}$

(4) A consonant is $0$