Probability: Cases of Cards | Probability | Assessment | English | Grade 10

Complete the statement - The number of face cards in a well shuffled ordinary pack of playing cards are ____

• 12

• 16

• 4

• 52

Answer explanation

A well shuffled pack of playing cards contains 52 cards.There are 4 suits and each suit contains 3 Face Cards: Jack,Queen and King. So, the number of face cards in the pack will be = 4 x 3 = 12 Hence the correct answer is option 1.

A card is drawn from a well shuffled pack of 52 playing cards. Find the probability that it is not a face Card.

• 0.77

• 0.23

• 0.115

• 0.32

Answer explanation

A well shuffled pack of playing cards contains 52 cards. Total No. of outcomes= 52 There are 4 suits and each suit contains 3 Face Cards, Jack,Queen and King. Event A …. Choosing a card which is not a face card. n(A) = 40 No. of favourable outcomes= 40 So, P(A) = 40/52 = 0.77 Hence the correct answer is option 1.

Two packs of 52 playing cards each are shuffled together. A card is drawn at random from this . Find the probability that the card drawn is an ace.

• 0.038

• 0.0577

• 0.154

• 0.077

Answer explanation

A well shuffled pack of playing cards contains 52 cards. Therefore, 2 packs will contain 104 cards Total No. of outcomes= 104 So, number of Aces in 2 packs = 4 x 2 = 8 Let A be the event of getting an Ace No. of favourable outcomes = 8 P(A) = 8/104 = 0.077 Hence the correct answer is option 4.

Tags

CCSS.7.SP.C.7B

From a well shuffled pack of 52 cards a few cards of the same colour are missing. If P ( Red Card) = 1/3 and P( Black Card) = 2/3, then which colour of cards are missing and how many?

• Red, 13

• Red, 12

• Black, 13

• Black, 12

Answer explanation

A well shuffled pack of playing cards contains 52 cards. There are 26 Red cards and 26 Black Cards. According to this, P(Red Card) = P ( Black Card) = 26/52 = 1/2 But, since P(RedCard) is less than this and P (Black card ) is more , cards of Red colour must be missing. Let x red cards be missing . No. of cards = 52 ─x Number of red cards = 26 ─ x So, (26 ─ x) / (52 ─ x) = 1/3 3(26 - x) = (52 - x) 78 - 3x = 52 - x 2x = 26, x = 13 Hence the correct answer is option 1.

Tags

CCSS.7.SP.C.7B

Five cards, the Ten, Jack , Queen, King and Ace of Hearts are removed from a pack of 52 playing cards.After shuffling well, a card is drawn from the pack. What will be the probability that the card will be a King?

• 4/47

• 3/47

• 3/52

• 3/50

Answer explanation

A well shuffled pack of playing cards contains 52 cards. Total No. of outcomes= 52 After removing 5 cards , Total No. of outcomes = 47 Let A be the event of getting a King No. of favourable outcomes = 3 ( since 1 King has been removed leaving behind 3) P(A) = 3/47 Hence, the correct answer is Option 2.

Tags

CCSS.7.SP.C.7B