From a pack of cards two cards are drawn one after...

Home / Arithmetic Ability / Probability / Question

Examveda

From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -

A. $$\frac{{1}}{{26}}$$

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

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

D. $$\frac{{11}}{{26}}$$

Answer: Option A

Solution (By Examveda Team)

Let E₁ be the event of drawing a red card.
Let E₂ be the event of drawing a king.
$$P\left( {{E_1} \cap {E_2}} \right) = P\left( {{E_1}} \right).P\left( {{E_2}} \right)$$
(As E₁ and E₂ are independent)
$$\eqalign{ & = \frac{1}{2} \times \frac{1}{{13}} \cr & = \frac{1}{{26}} \cr} $$

This Question Belongs to Arithmetic Ability >> Probability

Join The Discussion

Comments (1)

SRI VIBHUTI:

2 years ago

How we find the value of P(E1) & P(E2)?

Related Questions on Probability

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

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

B. $$\frac{{2}}{{5}}$$

C. $$\frac{{8}}{{15}}$$

D. $$\frac{{9}}{{20}}$$

View Answer

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

A. $$\frac{{10}}{{21}}$$

B. $$\frac{{11}}{{21}}$$

C. $$\frac{{2}}{{7}}$$

D. $$\frac{{5}}{{7}}$$

View Answer

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

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

B. $$\frac{{3}}{{4}}$$

C. $$\frac{{7}}{{19}}$$

D. $$\frac{{8}}{{21}}$$

E. $$\frac{{9}}{{21}}$$

View Answer

What is the probability of getting a sum 9 from two throws of a dice?

A. $$\frac{{1}}{{6}}$$

B. $$\frac{{1}}{{8}}$$

C. $$\frac{{1}}{{9}}$$

D. $$\frac{{1}}{{12}}$$

View Answer