The probability that a student will pass in Mathematics is ⅗
and the probability that he will pass in English is ⅓. is the probability that he will pass in both mathematics and English is ⅛ , what is the probability that he will pass in atleast one subject ?
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Answers
Answer:
1/24
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The probability that a student will pass math is 3/5, and the probability that he'll pass English is 1/3. If the probability that he'll pass both math and English is 1/8, what is the probability that he'll pass at least one subject?
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Probability student passes in at least one subject = 1 — Probability student fails in both subkects Math & English
= 1 — ( (Probability student fails in Math) × (Probability student fails in English) )
= 1 — ( (1— 3/5) × (1— 1/3) )
= 1 — ( 2/5)×(2/3)
=1–(4/15)
=11/15 Answer.
However, since we are given extra info on passing both subkects M & E as 1/8.
Apply formula
P (Pass M U Pass E) = P(pass M) +P(Pass E) — P(Pass both M& E or M intersection E)
= (3/5) +(1/3)—(1/8)
=(1/120)×( (72+40-15)
= 97/120 Answer Final.