A marble is selected at random from a jar containing 10 red​ marbles, 50 yellow​ marbles, and 40 green marbles. Find the theoretical probability that it is either red or green.

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Part 1
​P(red or ​green)equals

1 answer

The total number of marbles in the jar is 10 + 50 + 40 = 100.

The probability of selecting a red marble is 10/100 = 1/10.

The probability of selecting a green marble is 40/100 = 2/5.

Therefore, the probability of selecting either a red or green marble is:

P(red or green) = P(red) + P(green) = 1/10 + 2/5 = 1/10 + 4/10 = 5/10 = 1/2

So, the theoretical probability of selecting either a red or green marble is 1/2.