Taymoor is going to apply for two different jobs. He estimates that the probability of getting job Ais 0.3 and the probability of getting job B is 0.4 The job offers will be made independently. What is the
probability that he gets at least one job?
0.58
0.82
0.7
0.12

0.58

Step-by-step explanation:

The probability that Taymoor gets at least one job is a  sum of probabilities of 3 events:

1.He gets Job 1 (P(1.yes)= 0.3) and doesn't get the job 2 (P(2.not)=1-0.4=0.6)

P(1.yes,2.not)=P(1.yes)*P(2.not)=0.3*0.6=0.18

2. He doesn't get job1 (P(1.not)= 1-03=0.7 ) and gets job2(P2.yes)=0.4)

P(1.not,2.yes)=P(1.not)*P(2.yes)=0.7*0.4=0.28

3. He gets  job1 (P(1.yes)= 0.3 ) and gets job2(P2.yes)=0.4)

P(1.yes,2.yes)=P(1.yes)*P(2.yes)=0.3*0.4=0.12

The resulted probability is P(gets job)= 0.18+0.28+0.12=0.58

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0