If the sample space for an experiment contains the odd numbers from 1 to 20, how many outcomes will be included in the event “less than 12”?(

To find the number of outcomes included in the event "less than 12," we need to count the odd numbers from 1 to 11.

The odd numbers from 1 to 11 are 1, 3, 5, 7, 9, 11.

Therefore, there are 6 outcomes included in the event "less than 12" when the sample space contains the odd numbers from 1 to 20.

A box has these letters inside it: B N T P N N T P B B N T. Which answer shows how to find the probability of drawing two Ns if the first letter is replaced before drawing the second?

To find the probability of drawing two Ns from the box with replacement, we need to determine the number of favorable outcomes (events where we draw an N) and the total number of possible outcomes.

The letter "N" appears four times in the box. Since we're replacing the first letter before drawing the second, the probability of drawing one N is 4/12, or 1/3.

To find the probability of drawing a second N after replacing the first letter, we use the same calculation: 4/12 or 1/3.

Since we are asked to find the probability of both events occurring (drawing two Ns), we multiply the probabilities together: (1/3) * (1/3).

Therefore, the probability of drawing two Ns if the first letter is replaced before drawing the second is (1/3) * (1/3) or 1/9.

A box has these letters inside it: B N T P N N T P B B N T. Which answer shows how to find the probability of drawing two Ns if the first letter is replaced before drawing the second? (1 point)

4/12+4/12

4/8 x 4/8

4/12 x 4/12

3/12x2/11

To find the probability of drawing two Ns if the first letter is replaced before drawing the second, we need to consider the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes is given by the total number of letters in the box, which is 12.

The number of favorable outcomes is the number of Ns in the box, which is 4.

Therefore, the probability of drawing two Ns if the first letter is replaced before drawing the second is:

Number of favorable outcomes / Total number of outcomes
= 4/12 x 4/12
= 1/3 x 1/3
= 1/9

So, the correct answer is

4/12 x 4/12