Answer: 19/25.
Step-by-step explanation:
Given data:
Large marbles = 14
Small marbles = 11.
8 large marbles = green.
5 of small marbles = white.
Solution:
If 8 of large marbles are green, therefore the remaining 6 are white.
Likewise for the small marbles the remaining 6 are green marbles.
Total number of marbles = 14 + 11
= 25.
P(small or green) = P(small) + P (green) – P (Both)
= 11/25 + 14/25 – 6/11
= 19/25
Answer:
Answer is 0.7536
Step-by-step explanation:
Large Marbles = 14 Small Marbles = 11
Green LM = 8 Green SM = 6
White LM = 6 White SM = 5
QUESTION:
If a marble is randomly selected from the box, what is the probability that it is small or it is green?
Note the use of "or" and not "and".
SOLUTION:
In this case, the two events - small marble & green marble - are NOT mutually exclusive. This means that sometimes they occur together. We can have a marble that is both small and green!
The formula for this probability is hence
P(A or B) = P(A) + P(B) - P(A and B)
Let A = The event that the selected marble is small
B = The event that the selected marble is green
Total number of marbles = 14 + 11 = 25
P(A or B) = 11/25 + (8+6)/25 - [P(A) × P(B)]
P(A or B) = 11/25 + 14/25 - [11/25 × 14/25]
= 0.44 + 0.56 - 0.2464 = 1 - 0.2464 = 0.7536
