Question

(iv) What is the number of sample points when two coins are
tossed simultaneously?
(A) 8 (B) 4 (C) 2 (D) 1
(B) Solve the following subquestions :
4
(i) If 2x + 3y = 10 and 3x + 2y = 15, find the value of (x + y).
(ii) Find the value of b2 - 4ac, if a = 2, b = -11, C = 15..
(iii) If a =3 and to = 27, find the sum of the first six terms of
the A.P.
(iv) Write the sample space S and the number of sample points
n(S), when a die is rolled.
​

Answer 1

Answer:

ghiggi oo kashanamu aagadu atanu aavida kallu musukundi vengamaamba bhakthi paravasyamtho vengamaamba

Answer 2

Answer:

(A)

iv) its 4

# tip : points in sample space for tose of coin = 2^(n)

where n is the number of times it is tossesd

here n = 2

so 2^(2) =4

{ HH,HT, TH ,TT}

(B) i)

GIVEN

2x +3y = 10

and 3x +2y = 15

adding both we get

5x + 5y = 25

5( x + y ) = 25

x + y = 5

ii )b = -11 , a = 2 , c = 15

b^(2) - 4ac

-11^(2) - 4 × 2×15

= 121 - 120

= -1

iii)

a = 3 , d = 27

n = 6

S = n/2[2a + (n − 1) × d]

S = 6/2 ( 2 x 3 + 5 × 27)

= 3 ( 6 + 135)

= 3 ( 141)

= 423

iv)

sample space = {1,2,3,4,5,6}

n(S) = 6