Ls4202_biostatistics_midsem_2018_ please answer only question no.1. Page Layst R

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Ls4202_biostatistics_midsem_2018_
please answer only question no.1.

Page Layst Refeences Malin Ee iew Biostatistics LS 4202: Practice problems for Probability Basics. Date: February 13, 2017 Q1. Three cards are drawn from an ordinary $2-card deck without replacement (drawn cards are not placed back in the deck). Find the probability that none of the three cards is a heart. Note: Please assume that at each step, each one of the remaining cards is equally likely to be picked 02. IISER Kolkata and IISER Trivandrum field their respective football teams in an MHRD football toumament that includes IITs and IISERs. At the quarter-final stage, Kolkata and Trivandrum are the only two IISER teams that remain. Let the probability the IISER-K reaches the final be equal to 2/3, and the probability that IISER-T reaches the final be equal to 1/2. Let the probability that atleast one of the IISER teams reaches the final be equal to 3/4. Further if both the IISER teams meet in the final. Kolkata will certainly win. Assuming that only one of the IISER teams made it to the final and won, what is the probability that

Explanation / Answer

1) Total no of a card not to be a Heart = 39 C 3 = 9,139

Total no of outcomes = 52 C 3 = 22,100

probability of a card not to be a Heart = 39C3 / 52C3

= 9139 / 22100

= 0.41353

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