गुरुर्ब्रह्मा गुरुर्विष्णु गुरुर्देवो महेश्वरा गुरुर्साक्षात परब्रह्म तस्मै श्री गुरवे नमः !
1.
Correct Answer : (A) (ii), (iii) and (iv) only.
Detailed Explanation:
2.
Correct Answer : (D) 7 and 255
3.
Correct Answer : (C) 858
4.
Correct Answer : (D) X ∩ Y = {3}
5.
Correct Answer : (B) 0.7187
Detailed Explanation:
The number of ways to draw 4 cards from a deck of 52 cards is given by the combination formula:
C(52,4) = 52! / (4! * (52-4)!) = 270,725
The number of ways to draw 4 cards from a deck of 48 cards (after removing the 4 aces) is given by:
C(48,4) = 48! / (4! * (48-4)!) = 194,580
Therefore, the number of ways to draw 4 cards without any aces is given by:
C(48,4) / C(52,4) = 194,580 / 270,725 = 0.7187 (rounded to 4 decimal places)
So the probability of drawing 4 cards without any aces is approximately 0.7187, or 71.87%.
6.
Correct Answer : (C) 0.1
7.
Correct Answer : (B) 1/9
8.
Correct Answer : (B) {7}
9.
Correct Answer : (C) 8/45
10.
Correct Answer : (C) 26