Question

each card in a set of cards has a different number of 1 to 12 written on it a student randomly chooses a car record two numbers shown on the card and replaces the card the table shows the results of the students choosing a card 25 x number of Cars 1 2 3 4 5 6 7 8 9 10 11 12 number of outcomes +23-142-311-2213 space on the data in the table how many of the next 125 cars of the student chooses could be expected to have a number shown on a car that is a multiple of 4

Answer 1

Given data:

The given table is shown.

The expression for the probability that the number is multiple of 4.

`\begin{gathered} P(4m)=(8)/(25) \\ =0.32 \end{gathered}`

When 125 times the cards are chosen then expected number card is multiple of 4 is,

`\begin{gathered} E(4m)=125*0.32 \\ =40 \end{gathered}`

Thus, the correct option is (A).