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Five marbles are drawn from a bag which contains 6 blue marbles and 7 green marbles. Then, the probability that 3 will be blue and 2 green is:
Blue = 6
Green = 7
Number of ways 3 blue marbles can be drawn = ^{6}C_{3}
number of ways 2 green marbles can be drawn = _{7}C_{2}
total ways of drawing 5 marbles = ^{13}C_{5}
=> probability = (^{6}C_{3} * ^{7}C_{2})/^{13}C_{5}
= 140/429
A four digit number is formed by using the digits 1,2,3,4,5,6,7 without repetition. What is the probability that it’s divisible by 2?
One card is drawn from a well shuffled pack of 52 cards. If each outcome is equally likely, what is the probability that the card will be a red card?
The probability that the birth days of six different persons will fall in exactly two calendar months is:
An urn contains 9 red, 7 white and 4 black balls. If two balls are drawn at random, then the probability that one ball is white is:
n(S) = 20C^{2}
= P^{2} = (7C1 ⋅ 13C1)/20C^{2}
= 91/190
One card is drawn from a well shuffled pack of 52 cards. If each outcome is equally likely, what is the probability that the card will not be a red card?
The odds in favour of an event are 6 : 5. The probability of occurrence of this event:
When two dice are thrown what’s the probability of getting a sum less than 4?
A coin is tossed twice. What is the probability that atleast one tail occurs?
A coin is tossed. If head comes up a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining head and number 6 is:
Required sample space is {H1, H2, H3, H4, H5, H6, TH, TT}
∴ P(S) = 1/8
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