Q. 95.0( 1 Vote )

# A card is drawn from an ordinary pack and a gambler bets that it is a spade or an ace. What are the odds against his winning this bet?

Answer :

Total number of cards = 52

⇒ Total number of possible outcomes = 52

Total number of spades = 13

Total number of aces = 4, but out of these 4, 1 ace will be of spade

So, total number of spades and aces = Number of spades + Number of aces - Ace of spade = 13 + 4 - 1 = 16

Number of favourable outcomes of getting a spade or an ace = 13 + 3 = 16

∴ Probability of getting a spade or an ace if a card is drawn at random =

=

⇒ Total number of possible outcomes = 52

Total number of spades = 13

Total number of aces = 4, but out of these 4, 1 ace will be of spade

So, total number of spades and aces = Number of spades + Number of aces - Ace of spade = 13 + 4 - 1 = 16

Number of favourable outcomes of getting a spade or an ace = 13 + 3 = 16

∴ Probability of getting a spade or an ace if a card is drawn at random =

=

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSCards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability of a number which is a perfect cube. NEXT17 cards numbered 1, 2, 3, ..., 16, 17 are put into a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is a prime.

Related Videos

Quiz | Imp. Qs. of Probability37 mins

Let's understand Probability40 mins

When Chance is called Probability48 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Draw the graph of 2x – 3y = 4. From the graph, find whether x = -1, y = -2 is a solution or not. (Final)

NCERT - MathematicsProve the following identities :

tan^{4}θ + tan^{2}θ = sec^{4}θ – sec^{2}θ

If, then find the values of sin θ and cos θ.

KC Sinha - MathematicsWrite the first three terms of the following sequences defined by:

KC Sinha - Mathematics