Question

A box as all the 26 letters of English alphabets written 1 cards . What is the probability of drawing a card with a oval

Answer 1

Step-by-step explanation:

solution :

Total number of ways to select the 5 cards (without replacement) = A1=(521)∗(511)∗(501)∗(491)∗(481)=52∗51∗50∗49∗48

Total number of ways to select the 5 cards (without replacement) = A1=(521)∗(511)∗(501)∗(491)∗(481)=52∗51∗50∗49∗48 Number of vowels = 5

Total number of ways to select the 5 cards (without replacement) = A1=(521)∗(511)∗(501)∗(491)∗(481)=52∗51∗50∗49∗48 Number of vowels = 5 Remaining non-vowel / consonant cards = 52–5=47

Total number of ways to select the 5 cards (without replacement) = A1=(521)∗(511)∗(501)∗(491)∗(481)=52∗51∗50∗49∗48 Number of vowels = 5 Remaining non-vowel / consonant cards = 52–5=47 Total number of ways to select the 5 consonant cards (without replacement) = A2=(471)∗(461)∗(451)∗(441)∗(431)=47∗46∗45∗44∗43

Total number of ways to select the 5 cards (without replacement) = A1=(521)∗(511)∗(501)∗(491)∗(481)=52∗51∗50∗49∗48 Number of vowels = 5 Remaining non-vowel / consonant cards = 52–5=47 Total number of ways to select the 5 consonant cards (without replacement) = A2=(471)∗(461)∗(451)∗(441)∗(431)=47∗46∗45∗44∗43 Probability for selecting consonant card (non-vowel cards) = P(A)=A2A1=47∗46∗45∗44∗4352∗51∗50∗49∗48

Total number of ways to select the 5 cards (without replacement) = A1=(521)∗(511)∗(501)∗(491)∗(481)=52∗51∗50∗49∗48 Number of vowels = 5 Remaining non-vowel / consonant cards = 52–5=47 Total number of ways to select the 5 consonant cards (without replacement) = A2=(471)∗(461)∗(451)∗(441)∗(431)=47∗46∗45∗44∗43 Probability for selecting consonant card (non-vowel cards) = P(A)=A2A1=47∗46∗45∗44∗4352∗51∗50∗49∗48 ∴ Probability for selecting at least one vowel card = 1−P(A)

Total number of ways to select the 5 cards (without replacement) = A1=(521)∗(511)∗(501)∗(491)∗(481)=52∗51∗50∗49∗48 Number of vowels = 5 Remaining non-vowel / consonant cards = 52–5=47 Total number of ways to select the 5 consonant cards (without replacement) = A2=(471)∗(461)∗(451)∗(441)∗(431)=47∗46∗45∗44∗43 Probability for selecting consonant card (non-vowel cards) = P(A)=A2A1=47∗46∗45∗44∗4352∗51∗50∗49∗48 ∴ Probability for selecting at least one vowel card = 1−P(A) =1−47∗46∗45∗44∗4352∗51∗50∗49∗48=0.40978737648≈0.41