Question

answer the question ​

Answer 1

27-Numbers =−3,−2,−1,0,1,2,3

Square of the numbers =9,4,1,0,1,4,9

$\small\bold{Total \: number \: for \: which \: {x}^{2} \leqslant 4 \: are = 5}$

$\small \bold{Probability = \frac{Total \: numbers \: satisfying \: the \: condition}{Total \: numbers} }$

$= \frac{5}{7}$

28-Possible outcomes when a die is rolled -> (1,2,3,4,5,6)

Total no. of possible cases = 6.

(i) Total prime numbers in the outcome = 6

Probability of getting prime number = 3/6= 1/2

(ii) Total numbers between 2 and 6 = 3

Probability of getting number between 2 and 6 = 3/6 = 1/2.

29-Sample space ={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Outcomes when he does not choose 3 heads or 3 tails ={HHT,HTH,HTT,THH,THT,TTH}

$\bold{Probability \: of \: losing = \frac{6}{8} = \frac{3}{4} }$