6.
a jar has 19 marbles and 5 of them are green. you pull 3 marbles without replacement. what is the probability that all are green? write your answer as a fraction. you do not need to simplify.
The probability of pulling a green marble on the first draw is 5/19.
After removing a green marble, the probability of pulling a green marble on the second draw is 4/18.
Lastly, the probability of pulling a green marble on the third draw is 3/17.
So, the probability of pulling all green marbles is (5/19) * (4/18) * (3/17) = 60/581.
Therefore, the probability is 60/581.
7.
a jar contains jelly beans. there are 6 red jelly beans, 6 blue jelly beans and 5 green jelly beans. you randomly take two jelly beans out to eat. what is the probability that one jelly bean is red and the other jelly bean is green? write your answer as a fraction. you do not need to simplify.
Total number of jelly beans: 6 (red) + 6 (blue) + 5 (green) = 17 jelly beans
To find the probability of selecting one red jelly bean and one green jelly bean, we need to calculate the probability of each step:
Probability of selecting 1 red jelly bean: 6/17
Probability of selecting 1 green jelly bean after selecting a red jelly bean: 5/16
Therefore, the probability of selecting one red jelly bean and one green jelly bean is (6/17) * (5/16) = 30/272.
Hence, the probability is 30/272.
the baseball store has 6 different types of bats, 3 types of gloves and 3 types of cleats. assuming you will pick exactly one of each how many different possibilities are there?
If you are picking one of each item (bat, glove, cleat), you are essentially looking at the number of ways to combine each category.
Total possibilities = Number of bats * Number of gloves * Number of cleats
Total possibilities = 6 * 3 * 3 = 54
There are 54 different possibilities when picking exactly one bat, one glove, and one cleat from the given options.
8.
the sub shop has 7 different kinds of bread, 5 types of cheese, 5 types of meat, 4 vegetable toppings and 9 types of sauce. assuming you will pick exactly one of each how many different possibilities are there?
If you are picking one of each item (bread, cheese, meat, vegetable topping, sauce), you are looking at the number of ways to combine each category.
Total possibilities = Number of bread * Number of cheese * Number of meat * Number of vegetable toppings * Number of sauce
Total possibilities = 7 * 5 * 5 * 4 * 9 = 3150
There are 3150 different possibilities when picking exactly one bread, one cheese, one meat, one vegetable topping, and one sauce from the given options.