A statistics teacher states the probability of a surprise quiz on any given day is 0.30. If quizzes are given independently of the day, what is the probability there will be a surprise quiz on the next two consecutive days?

0.09

Step-by-step explanation:

Given: The probability that a surprise quiz on any given day is 0.30.

Since quizzes are given independently of the day

Then, the probability there will be a surprise quiz on the next two consecutive days  = 0.30 x 0.30  [When events are independent then the probability of them both occurring is the product of the probabilities of each occurring. ]

= 0.09

Hence, the probability there will be a surprise quiz on the next two consecutive days =0.09

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.