A box contains 5 defective and 10 non-defective lamps. 8 lamps are drawn at random in succession without replacement. What is the probability that the 8 lamp is the 5 defective?
Answers
Answer:
8/429
Step-by-step explanation:
5 defective lamps can be selected at 5c5 ways
and
3 non defective should be selected from 10 non defective lamps as we want total 8 lamps
so
5c5 ×10c3/15c8 = 8/429
(5c5=1,10c3=120,15c8=6435)
Probability = 8/429 of 5 Lamps Defective out of 8 Selected Lamps from a box containing 5 defective & 10 non-defective lamps
Step-by-step explanation:
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
Probability = 8/429 of 5 Lamps Defective out of 8 Selected Lamps from a box containing 5 defective & 10 non-defective lamps
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