From a barrel of colored marbles, you randomly select 4 blue, 5 yellow, 6 red, 2 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not blue. (1 point)
The term shows 6 over 13.
one-half
start fraction 9 over 11 end fraction
three-eighths
The experimental probability of randomly selecting a marble that is not blue is 9/22, which is approximately 0.41.
Explanation:
To find the experimental probability, we need to divide the number of favorable outcomes (marbles that are not blue) by the total number of possible outcomes (all the marbles in the barrel).
Number of marbles that are not blue = 5 yellow + 6 red + 2 green + 5 purple = 18
Total number of marbles = 4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22
Experimental probability = 18/22 = 9/11 or approximately 0.41.
The probability of winning a game is 25%. How many times should you expect to win if you play 40 times? (1 point)
4 times
10 times
16 times
2 times
You should expect to win 10 times if you play 40 times with a probability of winning of 25%.
Explanation:
If the probability of winning a game is 25%, then the probability of losing is 100% - 25% = 75%. We can use the binomial distribution formula to determine the expected number of successes (i.e. the number of times we expect to win) in a certain number of trials (i.e. the number of times we play the game):
Expected number of successes = number of trials x probability of success
Expected number of successes = 40 x 0.25
Expected number of successes = 10
Therefore, we can expect to win 10 times if we play 40 times with a probability of winning of 25%.
To find the experimental probability of randomly selecting a marble that is not blue, you need to find the number of marbles that are not blue and divide it by the total number of marbles.
Total number of marbles = 4 (blue) + 5 (yellow) + 6 (red) + 2 (green) + 5 (purple) = 22
Number of marbles that are not blue = 22 - 4 (blue) = 18
Experimental probability = Number of marbles that are not blue / Total number of marbles = 18 / 22 = 9/11
Therefore, the experimental probability of randomly selecting a marble that is not blue is start fraction 9 over 11 end fraction.