A box contains 5 defective and 10 non-defective lamps. Eight lamps are drawn at random in
succession without replacement. What is the probability that the 8th lamp is the 5th defective?
Answers
Answer:
Probability = 8/429 of 5 lamps , defective out of 8 selected lamps from a box containing 5 defective and 10 non defective lamps.
Probability 8/429 of 5 Lamps Defective out of 8 Selected Lamps from a box containing 5 defective & 10 non-defective lamps.
What is probability and example?
- Probability, the number of ways of achieving success. the total number of possible outcomes.
- For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
According to the question:
A box contains 5 defective and 10 non-defective lamps.
Total = 15 Lamps.
8 Lamps are Selected.
8 Lamps out of 15 can be selected in ¹⁵C₈ ways = 6435 Ways.
Out of 8
5 Lamps are defective - 5 Lamps can be selected in ⁵C₅ = 1 Ways.
3 Laps Can be selected from 10 Defectives in ¹⁰C₃ = 120 Ways.
Probability = 120/6435 = 8/429
Hence, Probability 8/429 of 5 Lamps Defective out of 8 Selected Lamps from a box containing 5 defective & 10 non-defective lamps.
Learn more about probability here,
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