Embibe Experts Solutions for Chapter: Probability, Exercise 1: Exercise

Define 'complementary event' with example.

Define with example

Sure event

If two events $A$ and $B$ are such that $P\left(A\right)+P\left(B\right)=1$, then write $P\left(B\right)$ in terms of $P\left(\overline{A}\right)$.

A fair coin is tossed $72$ times. A head comes up $12$ times. Show that the event in $a$ and $b$ are complementary using probability.

Event $a$: Probability of getting Head.

Event $b$: Probability of getting Tail.

The names of six boys and four girls are put in a bag. One of the boys name is Blake. One of the girls name is Crystal. One name is chosen without looking.

Work out the probability that the name chosen is:

not Crystal

The names of six boys and four girls are put in a bag. One of the boys name is Blake. One of the girls name is Crystal. One name is chosen without looking.

Work out the probability that the name chosen is:

a boys name or a girls name.

An unbiased dice with $20$ faces has the numbers from $1$ to $20$.

The dice is thrown.

Describe an outcome that has a probability of $75\%$.

In a buffet, $95$ out of $100$ people chose to order coffee over tea. What is the empirical probability of someone ordering tea?