One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculat

English

Gujarati

Hindi

14.Probability

easy

One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be a black card (i.e., a club or, a spade)

A

$\frac{1}{2}$

B

$\frac{1}{2}$

C

$\frac{1}{2}$

D

$\frac{1}{2}$

Solution

When a card is drawn from a well shuffled deck of $52$ cards, the number of possible outcomes is $52$

Let $C$ denote the event 'card drawn is black card'

Therefore, number of elements in the set $C=26$

i.e. $P(C)=\frac{26}{52}=\frac{1}{2}$

Thus, probability of a black card $=\frac{1}{2}$

Standard 11

Mathematics

Share

Similar Questions

Two integers are chosen at random and multiplied. The probability that the product is an even integer is

easy

A bag contains $9$ discs of which $4$ are red, $3$ are blue and $2$ are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag. Calculate the probability that it will be red.

easy

The probability that a teacher will give an unannounced test during any class meeting is $1/5$. If a student is absent twice, then the probability that the student will miss at least one test is

hard

Three persons work independently on a problem. If the respective probabilities that they will solve it are $\frac{{1}}{{3}} , \frac{{1}}{{4}}$ and $\frac{{1}}{{5}}$, then the probability that none can solve it

medium

If in a lottary there are $5$ prizes and $20$ blanks, then the probability of getting a prize is

easy