Question

What is the probability of forming the word "ADDS” by picking 4 cards at random and kept in the same order out of 50 cards given with 10 cards having "A”, 10 having "S” and the remaining 30 having "D” on it?

• A.
• B.
• C.
• D. none of these

Answer 1

The correct option is D

none of these

1) Probability of Getting an $A=\frac{10}{20}=\frac{1}{5}$
2) Probability of getting a $D=\frac{30}{49}$
3) Probability of getting a $D=\frac{29}{48}$
4) Probability of getting a $S=\frac{10}{47}$
Total probability= $\frac{1}{5}\times \frac{30}{49}\times \frac{29}{48}\times \frac{10}{47}$