a bag contains title with the letters a-r-i-t-h-m-e-t-i-c. Amelia chooses a title without looking and doesn't replace it. She chose a secnd title without looking. what is the probability that she will choose the letter I both times?
* 1/25
* 1/45
* 2/45
* 2/55
The probability of choosing the letter "I" on the first draw is 2/10 since there are two "I"s out of a total of 10 letters. Since Amelia does not replace the chosen title before drawing again, the probability of choosing "I" on the second draw is 1/9 since there is now only one "I" left out of a total of 9 remaining letters. So the probability of choosing "I" twice in a row is (2/10) x (1/9) = 2/45. Therefore, the answer is (C) 2/45.
There are 40 entries i the sciece fair. How many ways ca the etries fiish in first,second, and third place?
240
1,480
12,640
59,280
There are 40 options for first place. Once first place is decided, there are 39 options for second place. Once first and second place are decided, there are 38 options for third place. Therefore, the total number of ways the entries can finish in first, second, and third place is:
40 x 39 x 38 = 59,280
So the answer is (D) 59,280.
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When buying a new dress, you have a choice of 3 different lengths,5 different colors, and 2 different styles. How many choices are there for 1 dress?
13
15
30
32
To find the total number of choices for one dress, we need to multiply the number of options for length, color, and style:
3 x 5 x 2 = 30
Therefore, there are 30 different choices for one dress, so the answer is (C) 30.
How many different ways can a band teacher select the lead and co-lead trumpet player from a group of 12 trumpet players?
132
264
312
448
There are 12 options for the first trumpet player (the lead player) and 11 options remaining for the second trumpet player (the co-lead). However, since order does not matter between the lead and co-lead players, we need to divide by 2 to avoid overcounting. Therefore, the total number of ways the band teacher can select the lead and co-lead trumpet player is:
(12 x 11)/2 = 132
So the answer is (A) 132.
Below are the results of tossing a number cube 8 times. Find the experimental probability of tossing an even number.
3,4,1,2,5,1,6
1/4
3/8
1/2
5/8