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Solution When 3 unbaised coins are tossed, the total number of events = 8 They are {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT} (1) Number of favourable events (getting at least two heads) = 4 Probability of getting at least two heads = 4/8 = 1/2 (2) At most two heads That is no head or one head or 2 heads Probability of getting at most two heads = 7/8 3) Two head = 3 (HHT,HTH,THH) (adsbygoogle = window.adsbygoogle || []).push({}); Probability of getting no head = 3/8.The probability of getting exactly 2 heads is 12 No worries! We‘ve got your back. Try BYJU‘S free classes today! The probability of getting exactly two heads is 38 Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses The probability of getting at least 1 tail is 38 No worries! We‘ve got your back. Try BYJU‘S free classes today! The probability of getting exactly one tail is 38 Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses Open in App Solution The correct option is DThe probability of getting exactly one tail is 38Total possible cases = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} (where H= Heads, T= Tails) Number of exactly 2 heads = {HHT, HTH,THH} = 3 ∴ P (exactly 2 heads) = 38Number of exactly 1 tail = {HHT, HTH, THH} = 3 ∴ P(exactly one tail) =38 (adsbygoogle = window.adsbygoogle || []).push({}); Number of cases atleast one tail = {HHT, HTH, HTT, THH, THT, TTH, TTT} = 7∴ P(at least one tail) = 78Answer Verified
Hint: To solve this problem we need to first write the sample space of all the possible outcomes and then check the favorable outcomes that satisfy the given condition. After getting the favorable outcomes and total number of possible outcomes substitute them in the probability formula. Complete step-by-step answer: Note: While writing the sample space one needs to make sure that you consider all the possible outcomes without fail because neglecting any one of the possible outcomes causes the entire result to be wrong. What is the probability of getting one head if three unbiased coins are tossed?A coin is tossed 3 times. The probability of getting at least one head is 7/8.
What is the probability of getting atleast one head if three unbiased?If you flip a coin three times the chance of getting at least one head is 87.5%.
When 3 unbiased coins are tossed once what is the probability of getting at least one tail?Solution: When 3 coins are tossed, the possible outcomes are HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. (i) Let E1 denotes the event of getting all tails. Hence the required probability is ⅛.
When 3 unbiased coins are tossed once what is the probability of getting at least 2 heads?∴ Probability of getting at least two heads are 1/2.
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