1. you randomly choose an integer from 10 to 20. what are the odds that the integer is 15 or less?
2. you toss a six-sided number cube 15 times. for nine of the tosses the number tossed was 4 or more. what is the experimental probability than a number tossed is 4 or more?
please respond!! thanks a lot! =)
1. There are 11 numbers from 10 to 20, inclusive. Six if them are 15 or less. So the odds are 6/11.
2. For that particular experiment (15 tosses), the measured probability was 9/15 or 3/5.
For a long series of tosses, the average probability of getting 4, 5 or 6 should be 1/2.
thanks again!! :)
1. To calculate the odds that the randomly chosen integer is 15 or less, we need to determine the total number of possible outcomes and the number of favorable outcomes.
In this case, the total number of possible outcomes is the range of integers from 10 to 20, which includes 11 numbers (10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20).
The number of favorable outcomes is the range of integers equal to or less than 15, which includes 6 numbers (10, 11, 12, 13, 14, 15).
Therefore, the odds (probability) that the randomly chosen integer is 15 or less can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:
Odds = Favorable Outcomes / Total Outcomes
Odds = 6 / 11
So, the odds that the randomly chosen integer is 15 or less is approximately 0.545 (or 54.5%).
2. To find the experimental probability of obtaining a number 4 or more in 15 tosses of a six-sided number cube, we need to determine the total number of tosses where the number is 4 or more.
In this case, you mentioned that for 9 of the tosses, the number tossed was 4 or more. Therefore, the number of favorable outcomes is 9.
The total number of tosses is given as 15.
To find the experimental probability, divide the number of favorable outcomes by the total number of tosses:
Experimental Probability = Favorable Outcomes / Total Tosses
Experimental Probability = 9 / 15
So, the experimental probability that a number tossed is 4 or more is 0.6 (or 60%).