You picked a card at random from a deck of 52- noted the suit of the card- and then replaced the card- You repeated this experiment 99 more times- Your observations are as shown below- array - c - c - Wline Suit - Frequencylllhline Spades - 23 Whline Diamond - 26 whhine Club - 21 WhlineHeart - 30 Whlinelend array Find the probability of drawingi Spadesii Diamondsiii Clubsiv Hearts- Show that the sum of these probabilities is 1- -4 MARKS-

Solution: 1Mark each Probability of drawing Spades = 23/100 = 0.23 Probability of drawing Diamonds= 26/100 = 0.26 Probability of drawing Spade = 21/100 = 0 ...

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Standard VII

Mathematics

Properties of Multiplication under Integers

You picked a ...

Question

You picked a card at random from a deck of 52, noted the suit of the card, and then replaced the card. You repeated this experiment 99 more times. Your observations are as shown below.

$\begin{matrix} S u i t & F r e q u e n c y S p a d e s & 23 D i a m o n d & 26 C l u b & 21 H e a r t & 30 \end{matrix}$

Find the probability of drawing
(i) Spades
ii) Diamonds
(iii) Clubs
(iv) Hearts.
Show that the sum of these probabilities is 1. [4 MARKS]

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Solution

Solution: 1Mark each

Probability of drawing Spades = $\frac{23}{100}$ = 0.23
Probability of drawing Diamonds= $\frac{26}{100}$ = 0.26
Probability of drawing Spade = $\frac{21}{100}$ = 0.21
Probability of drawing Spade = $\frac{30}{100}$ = 0.30
Hence the sum of these probabilities = 0.23 + 0.26 + 0.21 + 0.30 = 1.

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Similar questions

You picked a card at random from a deck of 52, noted the suit of the card, and then replaced the card. You repeated this experiment 99 more times. Your observations are as shown below.

$\begin{matrix} Suit & Frequency Spades & 23 Diamond & 26 Club & 21 Heart & 30 \end{matrix}$

Find the probability of drawing
(i) Spades
ii) Diamonds
(iii) Clubs
(iv) Hearts.
Show that the sum of these probabilities is 1. [4 MARKS]

Q. An experiment of drawing a random card from an ordinary playing cards deck is done with replacing it back. This was done ten times. Find the probability of getting

2

spades,

3

diamond

3

club and

2

hearts.

Q. From a deck of

52

cards, two cards are missing. One card is drawn at random from the remaining cards and found to be a spade. Find the probability that

(1)

both the missing cards were spades.

(2)

one of the missing card was spade.

(3)

neither of the missing cards was spade.

(4)

both the missing cards were same suit.

From a well-shuffled deck of 52 cards, a card is picked at random. (i) Find the probability of the card being a queen of spades. (ii) If the card drawn at first is a queen of spade and is not replaced, what is the probability of getting a card which is a spade?

Q. Four cards are drawn successively with replacement from a well shuffled deck of

52

cards. What is the probability that.
(i) all the four cards are spades?
(ii) only

2

cards are spades?

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Solution: 1Mark each Probability of drawing Spades = 23100 = 0.23 Probability of drawing Diamonds= 26100 = 0.26 Probability of drawing Spade = 21100 = 0.21 Probability of drawing Spade = 30100 = 0.30 Hence the sum of these probabilities = 0.23 + 0.26 + 0.21 + 0.30 = 1.