Question

A bag contains 7 red marbles 6 green marbles 5 yellow marbles and 2 orange. marbles are drawn twice with a replacement. what is p {yellow and green?

a coin is tossed and a number cube is rolled. what is p{h, then prime number?

letter tiles that spell the word happiness are replaced in a bag. a tile is drawn and then a second tile is drawn. find p then vowel p?

Answer 1

yellow 3 green

`226`

Answer 2

Question 1:

We have been given that a bag contains 7 red marbles, 6 green marbles, 5 yellow marbles, and 2 orange. Further we are given that marbles are drawn twice with a replacement. We need to figure out the probability P(Yellow and Green).

Basically, we need to determine the probability that first marble drawn is yellow and second marble drawn is green.

Probability of first marble drawn being yellow is
`(5)/(20)=(1)/(4)` and probability of second marble drawn being green is
`(6)/(20)=(3)/(10)`.

Therefore, the probability P(Yellow and Green) =
`(1)/(4)\cdot (3)/(10)=(3)/(40)`.

Question 2:

We have been given that a coin is tossed and a number cube is rolled and we need to find the probability P(H, prime number).

Probability of getting head on the coin is
`(1)/(2)`.

Probability of getting a prime number on the cube is
`(3)/(6)=(1)/(2)`.

Therefore, probability P(H, prime number) =
`(1)/(2) \cdot (1)/(2)=(1)/(4)`