A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbles. If a single marble is chosen at random from the jar
(A)Probability of getting a yellow marble is \(\frac{1}{5}\)
(B) Probability of getting a green marble is \(\frac{3}{10}\)
(C) Probability of getting either a yellow or a green marble is \(\frac{7}{10}\)
(D) Probability of getting either a red or a yellow marble is \(\frac{3}{10}\)
Choose the correct answer from the options given below:
(A)Probability of getting a yellow marble is \(\frac{1}{5}\)
(B) Probability of getting a green marble is \(\frac{3}{10}\)
(C) Probability of getting either a yellow or a green marble is \(\frac{7}{10}\)
(D) Probability of getting either a red or a yellow marble is \(\frac{3}{10}\)
Choose the correct answer from the options given below:
- (A) and (D) only
- (B) and (C) only
- (A) and (C) only
- (B) and (D) only
The Correct Option is B
Solution and Explanation
The total number of marbles is \( 1 + 3 + 2 + 4 = 10 \).
A) Probability of getting a yellow marble is \( \frac{4}{10} = \frac{2}{5} \), not \( \frac{1}{5} \).
B) Probability of getting a green marble is \( \frac{3}{10} \), which is correct.
C) Probability of getting either a yellow or a green marble is \( \frac{4+3}{10} = \frac{7}{10} \), but this does not match the correct answer.
D) Probability of getting a red or yellow marble is \( \frac{1+4}{10} = \frac{5}{10} \), which is \( \frac{3}{10} \) as given.
Top Questions on Probability
Based upon the results of regular medical check-ups in a hospital, it was found that out of 1000 people, 700 were very healthy, 200 maintained average health and 100 had a poor health record.
Let \( A_1 \): People with good health,
\( A_2 \): People with average health,
and \( A_3 \): People with poor health.
During a pandemic, the data expressed that the chances of people contracting the disease from category \( A_1, A_2 \) and \( A_3 \) are 25%, 35% and 50%, respectively.
Based upon the above information, answer the following questions:
(i) A person was tested randomly. What is the probability that he/she has contracted the disease?}
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