9:{"metadata":[["$","title","0",{"children":"iimkbmsat0025 - There is a 4-in-5 chance that A can complete the marathon. There is a 5-in-8 chance that B can't complete the marathon, which is independent of A's performance. What is the probability that both A and B end up completing? | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined Given Information: - Probability A comp<=tes marathon = 45 - Probability B can't comp<=te marathon = 58 - A's and B's performances are independent

Watch out! The prob<=m gives us B's chance of NOT comp<=ting. If P(B can't comp<=te) = 58 Then P(B can comp<=te) = 1 - 58 = 38 Why? Probabilities always add up to 1. If there's a 58 chance B fails, the remaining 38 is the chance B succeeds.

Since A and B perform independently, we multiply their individual probabilities: P(Both comp<=te) = P(A comp<=tes) P(B comp<=tes)

P(Both comp<=te) = 45 38 Multiply across: - Numerator: 4 3 = 12 - Denominator: 5 8 = 40 P(Both comp<=te) = 1240

Simplify the fraction: 1240 = 310 (dividing both by 4) Final Answer: 310 or 0.3 Quick Check: 310 = 30\\%, which makes sense since both events are somewhat likely but not guaranteed!"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"IIM-K (BMSAT),QA,Modern Math,Probability"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"iimkbmsat0025 - There is a 4-in-5 chance that A can complete the marathon. There is a 5-in-8 chance that B can't complete the marathon, which is independent of A's performance. What is the probability that both A and B end up completing? | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined Given Information: - Probability A comp<=tes marathon = 45 - Probability B can't comp<=te marathon = 58 - A's and B's performances are independent

Since A and B perform independently, we multiply their individual probabilities: P(Both comp<=te) = P(A comp<=tes) P(B comp<=tes)

P(Both comp<=te) = 45 38 Multiply across: - Numerator: 4 3 = 12 - Denominator: 5 8 = 40 P(Both comp<=te) = 1240

Simplify the fraction: 1240 = 310 (dividing both by 4) Final Answer: 310 or 0.3 Quick Check: 310 = 30\\%, which makes sense since both events are somewhat likely but not guaranteed!"}],["$","meta","9",{"property":"og:url","content":"/iimk-bmsat-past-year-questions/2025/QA/45"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | JIPMAT Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"iimkbmsat0025 - There is a 4-in-5 chance that A can complete the marathon. There is a 5-in-8 chance that B can't complete the marathon, which is independent of A's performance. What is the probability that both A and B end up completing? | PYQs + Solutions"}],"$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e","$L1f","$L20","$L21","$L22"],"error":null,"digest":"$undefined"}

IIM-K (BMSAT) 2025 (QA) PYQs

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