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Ans. (b) \frac{31}{38} \\
Explanation:
P(failure)=1-P (pass) [mutually exclusive]
=1-\frac{7}{38} = \frac{31}{38}
Ans. (d) 1/13
Explanation:
Total no. of possible outcomes n(S) = 52
Number of favourable outcomes n(E) = 4
∴ Probability of drawing a jack = \frac{n(E)}{n(S)} = \frac{4}{52} =\frac{1}{13}
Explanation:
Sample space for three coins tossed is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
⇒ n(S)=8
(i) Exactly two heads = {HHT, HTH, THH}
⇒ n(P_1)=3 \\
∴ P_1 = \frac{n(p_1)}{n(S)} = \frac{3}{8}. \\
(ii) Atleast two heads {HHT, HTH, THH, HHH}
⇒ n(P_1) = 3 \\
∴ P_2 = \frac{n(P_1)}{n(S)} = \frac{4}{8} = \frac{1}{2} \\
(iii) Atleast two tails {TTH, THT, HTT, TTT}
n(P_3)=4P_3 = \frac{n(P_3)}{n(S)} =\frac{4}{8} = \frac{1}{2}
Explanation:
Since, the red face cards are removed, number of cards = 46.
∴ (i) P (of red colour)= \frac{20}{46} = \frac{10}{23} \\
(ii) P (a Queen)= \frac{2}{46} = \frac{1}{23} \\
(iii) P (an ace)= \frac{4}{46} =\frac{2}{23}
(iv) P (a face card)= \frac{6}{46} = \frac{3}{23}
Explanation:
(i)Sample space,
S={H,T}
n(S)=2
Event={Head}
n(E) =1
∴ P(E) = \frac{n(E)}{n(S)} \\
⇒ P(E) = \frac{1}{2} //
(ii) Sample space S = {H, T}
⇒ n(S)=2
Event={Tail}
⇒n(E)=1
∴P(E)= \frac{n(E)}{n(S)} = \frac{1}{2}
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Download NowChapter No. | Chapter Name |
---|---|
Chapter 1 | Goods and Service Tax (GST) |
Chapter 2 | Banking |
Chapter 3 | Shares and Dividends |
Chapter 4 | Linear inequations |
Chapter 5 | Quadratic Equations in one variable |
Chapter 6 | Ratio and proportion |
Chapter 7 | Factorization |
Chapter 8 | Matrices |
Chapter 9 | Arithmetic Progression |
Chapter 10 | Geometric Progression |
Chapter 11 | Coordinate Geometry |
Chapter 12 | Reflection |
Chapter 13 | Similarity |
Chapter 14 | Loci |
Chapter 15 | Circles |
Chapter 16 | Constructions |
Chapter 17 | Mensuration |
Chapter 18 | Trigonometry |
Chapter 19 | Statistics |
Chapter 20 | Probability |
Chapter Wise Important Questions for ICSE Board Class 10 Mathematics |
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Goods and Service Tax (GST) |
Banking |
Shares and Dividends |
Linear inequations |
Quadratic Equations in one variable |
Ratio and proportion |
Factorization |
Matrices |
Arithmetic Progression |
Geometric Progression |
Coordinate Geometry |
Reflection |
Similarity |
Loci |
Circles |
Constructions |
Mensuration |
Trigonometry |
Statistics |
Probability |
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