Question

a number x is chosen at random from the numbers-3,-2,-1,0,1,2,3 the probability that x<2 is

Answer 1

no of numbers in set=7

sample space is {-3,-2,-1,0,1,2,3}

no of elements in subset = 7

so N(s) =7

the event taken is x<2 

event set is {-3,-2,-1,0,1}

no of elements in event set = 5         

N(e)=5

probability that x<2=N(e)/N(s)

                              =5/7

Answer 2

Answer:

$\frac{6}{7}$

Step-by-step explanation:

Given : A number x is chosen at random from the numbers-3,-2,-1,0,1,2,3

To Find : Find the probability that x < 2

Solution :

Total events = 7

First find the probability of getting a number greater than 2

Favorable event = 1

Probability of getting a number greater than 2 = $\frac{1}{7}$

Probability of getting a number less than 2 = $1-\frac{1}{7}=\frac{6}{7}$

Hence the probability that x<2 is $\frac{6}{7}$