Answer:
Activity 1
1. E
2. D
3. C
4. B
5. A
Activity 2
1. XUY = {2,3,3,4,6,7,9,11,12,13,15,18}
2. XUZ = {1,2,2,3,3,5,5,7,8,11,13,13,21}
3. YUZ = {1,2,3,3,5,6,8,9,12,13,15,18,21}
4. XnY = {3}
5. XnZ = {2,3,5,13}
6. YnZ = {3}
Activity 3
A.
1. n(a) = 3 (1,3,5)
n(s) = 6 (1,2,3,4,5,6)
p(a) = n(a)/n(s)
= 3/6
= 1/2
2. A = 6
B.
3) Cards of hearts and diamonds are red cards.
Number of hearts = 13
Number of diamonds = 13
Therefore, total number of red card out of 52 cards = 13 + 13 = 26
Therefore, probability of getting ‘a red card’
Number of favorable outcomes
P(H) = Total number of possible outcome
= 26/52
4) Cards of spades and clubs are black cards.
Number of spades = 13
Number of clubs = 13
Therefore, total number of black card out of 52 cards = 13 + 13 = 26
Therefore, probability of getting ‘a black card’
5) A card of diamond
Number of favourable outcomes i.e. ‘a card of diamond’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of diamond’
P(D) = Total number of possible outcome
= 13/52
= 1/4
6) A card of heart
Number of favourable outcomes i.e. ‘a card of heart’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of heart’
7) A card of clover
Number of favourable outcomes i.e. ‘a card of clover’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of clover’
8) A card of spade
Number of favourable outcomes i.e. ‘a card of spade’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of spade’
9. A face card
Total number of face card out of 52 cards = 3 times 4 = 12
Total number of non-face card out of 52 cards = 52 - 12 = 40
Therefore, probability of getting ‘a face card’
P(F) = Total number of possible outcome
= 12/52
10. A one-eyed card
Number of favourable outcomes i.e. ‘one-eyed’ is 2 out of 52 cards.
Therefore, probability of getting ‘a one-eyed’
P(B) = Total number of possible outcome
= 2/52
= 1/26
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Verified answer
Answer:
Activity 1
1. E
2. D
3. C
4. B
5. A
Activity 2
1. XUY = {2,3,3,4,6,7,9,11,12,13,15,18}
2. XUZ = {1,2,2,3,3,5,5,7,8,11,13,13,21}
3. YUZ = {1,2,3,3,5,6,8,9,12,13,15,18,21}
4. XnY = {3}
5. XnZ = {2,3,5,13}
6. YnZ = {3}
Activity 3
A.
1. n(a) = 3 (1,3,5)
n(s) = 6 (1,2,3,4,5,6)
p(a) = n(a)/n(s)
= 3/6
= 1/2
2. A = 6
B.
3) Cards of hearts and diamonds are red cards.
Number of hearts = 13
Number of diamonds = 13
Therefore, total number of red card out of 52 cards = 13 + 13 = 26
Therefore, probability of getting ‘a red card’
Number of favorable outcomes
P(H) = Total number of possible outcome
= 26/52
= 1/2
4) Cards of spades and clubs are black cards.
Number of spades = 13
Number of clubs = 13
Therefore, total number of black card out of 52 cards = 13 + 13 = 26
Therefore, probability of getting ‘a black card’
Number of favorable outcomes
P(H) = Total number of possible outcome
= 26/52
= 1/2
5) A card of diamond
Number of favourable outcomes i.e. ‘a card of diamond’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of diamond’
Number of favorable outcomes
P(D) = Total number of possible outcome
= 13/52
= 1/4
6) A card of heart
Number of favourable outcomes i.e. ‘a card of heart’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of heart’
Number of favorable outcomes
P(D) = Total number of possible outcome
= 13/52
= 1/4
7) A card of clover
Number of favourable outcomes i.e. ‘a card of clover’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of clover’
Number of favorable outcomes
P(D) = Total number of possible outcome
= 13/52
= 1/4
8) A card of spade
Number of favourable outcomes i.e. ‘a card of spade’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of spade’
Number of favorable outcomes
P(D) = Total number of possible outcome
= 13/52
= 1/4
9. A face card
Total number of face card out of 52 cards = 3 times 4 = 12
Total number of non-face card out of 52 cards = 52 - 12 = 40
Therefore, probability of getting ‘a face card’
Number of favorable outcomes
P(F) = Total number of possible outcome
= 12/52
10. A one-eyed card
Number of favourable outcomes i.e. ‘one-eyed’ is 2 out of 52 cards.
Therefore, probability of getting ‘a one-eyed’
Number of favorable outcomes
P(B) = Total number of possible outcome
= 2/52
= 1/26
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