Probability with Replacement (Independent Events)

Q.

In a lottery were $90$ tickets numbered $1$ to $90$. Five tickets were drawn at random. The probability that two of the tickets draw numbers $15$ and $89$ is

1. $\frac{2}{801}$

2. $\frac{2}{623}$

3. $\frac{1}{267}$

4. $\frac{1}{623}$

Q. Two coins are tossed. Find the probability of getting head on the first coin and tail on the second coin.

1. $1$
2. $\frac{1}{2}$
3. $\frac{1}{4}$

Q. Jessy tossed a coin and rolled a dice having 6 faces. The probability of getting head on the coin and 4 on the dice is (upto two decimal places).

Q. A school purchased $50$ computers for computer lab out of which $2$ are defective. If two computers are randomly selected for inspection. What is the probability that both the computers are defective if replacement is allowed?

1. $\frac{1}{625}$
2. ${\left(\frac{4}{50}\right)}^2$
3. $0.0016$
4. $0.0064$

Q.

A card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability of getting a red card or a diamond or a jack ?

1. $\frac{10}{13}$

2. $\frac{15}{26}$

3. $\frac{41}{52}$

4. $\frac{7}{13}$

Q. Sam have 6 denomination of 1 dollars, 5 denomination of 10 dollars and 4 denomination of 5 dollars. 2 denominations are chosen randomly with replacement. Find the probability of drawing 10 dollar followed by 10 dollar?

1. $\frac{4}{45}$
2. $\frac{1}{9}$
3. $\frac{4}{15}$
4. $\frac{20}{15}$

Q. A bag contains $8$ blue tickets and $12$ red tickets. $3$ tickets are drawn at random.What is the probability of getting all three blue tickets (with replacement)?

1. $\frac{4}{25}$
2. $\frac{8}{25}$
3. $\frac{8}{125}$
4. $\frac{4}{125}$

Q. The above data is the sale of the donuts for a week. The probability of finding atleast one of the donut that will be sold in the next two sales is .

1. 0.6%
2. 60%
3. 30%

Q. Over a period of 55 days, the probability that a green coloured dress is sold is 40%. From the data given, estimate the probability that a green dress will be sold for at least 4 days out of the next 11 days.

1. 0.8%
2. 20%
3. 8%
4. 80%

Q. In a pack of 52 playing cards, three cards are drawn at random with replacement. What is the probability of getting Jack in all 3 draws?

1. ${\left(\frac{4}{52}\right)}^2$
2. ${\left(\frac{1}{13}\right)}^3$
3. ${\left(\frac{3}{13}\right)}^3$
4. ${\left(\frac{3}{52}\right)}^3$