Question

A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k.

Answer 1

Answer:

Step-by-step explanation:

• Probability a blue marble=2/7
• Probability a red marble=3k

• Probability a green marble=5/2k

• the jar has only red, green and blue marbles, their individual probabilities will add up to 1.

Thus, 2/7+3k+5/2k=1

(6k+5k)/2=1-2/7

11k/2=(7-2)/7

11k/2=5/7

k=5/7×2/11

k=10/77

k=10/77

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Answer 2

Probabality of drawing a blue marble=2/7

Probability of drawing a red marble=3k

Probability of drawing a green marble=5/2k

Since the jar has only red, green and blue marbles, their individual probabilities will add up to 1.

Thus, 2/7+3k+5/2k=1

=>(6k+5k)/2=1-2/7

=>11k/2=(7-2)/7

=>11k/2=5/7

=>k=5/7×2/11

=>k=10/77

Thus, value of k=10/77

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