Question

Integers from −4 to 4 are written in small paper pieces and placed in a box. One is drawn from the box at

random .If the outcome is denoted by x,

a) What is the probability of getting a number satisfying the condition | x |< 2 ?

b) What is the probability of getting a number satisfying the condition| x |≤ 2 ?

c) What is the probability of getting a number satisfying the condition| x |≥ 3 ?

d) What is the probability of getting a number satisfying the condition| x |≤ 3?​

Answer 1

Answer:

a.1/3. b. 5/9. c. 4/9. d. 7/9

Step-by-step explanation:

the total no. of outcomes=9

a. favourable outcomes are

-1,0,1

no. of favourable outcomes=3

the probability of getting a number satisfying the condition | x |< 2 = 3/9=1/3

b. favourable outcomes are -2,-1,0,1,2

no. of favourable outcomes=5

the probability of getting a number satisfying the condition| x |≤ 2= 5/9

c. favourable outcomes are -4,-3,3,4

no. of favourable outcomes= 4

the probability of getting a number satisfying the condition| x |≥ 3= 4/9

d. favourable outcomes are-3,-2,-1,0,1,2,3

no. of favourable outcomes=7

the probability of getting a number satisfying the condition| x |≤ 3= 7/9