Recent questions tagged goclasses-da-dpp-day-151

Ten distinct emails arrive independently over a day. Each email is equally likely to arrive in any one of the $5$ one-hour time slots, independently of the others.What is...

A number is selected uniformly at random from the integers between $1000$ and $9999$ inclusive. What is the probability that the selected number contains the digit $5$ ex...

Let $A$, $B$, and $C$ be events in a probability space such that:$P(A)=P(B)=p$$A$ and $B$ are independent$P(A \cup B)=3/4$$P(C \mid A \cap B)=1$$P(C \mid A^c \cap B^c)=0$...

A fair coin is tossed repeatedly until either the pattern $HTH$ or the pattern $THT$ appears for the first time. What is the probability that $HTH$ appears before $THT$?$...

A student studies for either GATE CS or GATE DA each day. If the student studies GATE CS on a day, then the probability that the student studies GATE CS the next day is $...