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

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.

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

A game consists of tossing a coin $3$ times and noting the outcome each time. If getting the same result in all the tosses is a success, find the probability of losing the game.

A box contains $25$ tickets, bearing only one number from $1$ to $25$ on each. If one ticket is drawn at random, find the probability of an event that the ticket drawn bears an odd number.

There are eight cards in a box, each bearing a number from $0$ to $7$. Find the probability of the following event, that a card drawn show, a natural number.

A six-sided die is rolled $30$ times. If the die lands with a $1$ or $6$ facing up, the player wins.If the die lands on $2,3,4,5$ the player loses. Consider the table of collected data

Find the experimental probability of winning and losing.

Here is what Marcus says.

My football team can win, draw or lose a match. These are the only three outcomes. Winning is one of these outcomes. The probability that my team wins is $\frac{1}{3}$

What is incorrect with Marcus argument?

A box contains three cards bearing the numbers $1,2,3$. A second box contains four cards with the numbers $2,3,4,5$. A card is chosen at random from each box.

Draw the sample space diagram for the experiment.