Probability: Cases of Cards | Probability | Assessment | English | Grade 10
Quiz
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
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