A jar contains 6 red marbles, 4 blue marbles, and 10 green marbles. If a marble is selected at random from the jar, which of the following is the probability that it is not red?

Rationale

The probability that a randomly selected marble is not red is 7/10.

In the jar, there are a total of 20 marbles (6 red, 4 blue, and 10 green). To find the probability of not selecting a red marble, we can calculate the number of non-red marbles (4 blue + 10 green = 14) and divide that by the total number of marbles, resulting in a probability of 14/20, which simplifies to 7/10.

A ({3/10}) YOUR ANSWER

This choice represents the probability of selecting a red marble instead. It is calculated by taking the number of red marbles (6) and dividing it by the total number of marbles (20), resulting in 6/20, which simplifies to 3/10. Thus, this option is not relevant to the probability of selecting a non-red marble.

B ({7/10}) CORRECT

This is the correct answer, calculated by determining the number of non-red marbles (14) divided by the total number of marbles (20). The probability of not selecting a red marble is therefore 14/20, which simplifies to 7/10, confirming this as the right choice.

C ({1/5}) YOUR ANSWER

This choice represents a probability that is too low for the given scenario. It would imply that out of 5 total events, only 1 is successful in terms of selecting a non-red marble, which does not align with the actual count of non-red marbles (14 out of 20).

D ({1/2}) YOUR ANSWER

This option suggests that there is an equal chance of selecting a red or non-red marble, which is incorrect. Given that there are 14 non-red marbles compared to 6 red marbles, the likelihood of selecting a non-red marble is actually greater than 1/2.

Conclusion

The probability of randomly selecting a marble that is not red from the jar is accurately represented by 7/10. This result is derived from the ratio of non-red marbles to the total number of marbles, highlighting the importance of understanding total outcomes in probability. The other choices fail to reflect the correct relationship between the counts of red and non-red marbles in the jar.

A jar contains 6 red marbles, 4 blue marbles, and 10 green marbles. If a marble is selected at random from the jar, which of the following is the probability that it is not red?

The probability that a randomly selected marble is not red is 7/10.

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