**A card is drawn from a pack of cards.What is the probability that it is a card of black suit?**- A2/3
- B4/5
- C6/7
- D1/2
**Explanation:**There are 26 cards of black suits

Total=52

No of events=26

Probability=26/52=1/2

**A box contains 4 red balls,5 green balls and 6 white balls.A ball is drawn at random.Find the****probability that the ball drawn is either red or green**?- A2/3
- B3/5
- C4/7
- D8/11
**Explanation:**Total=15C1=15

No of events=4C1+5C1=9

Probability=9/15=3/5

**An unbiased die is thrown.Find the probability of getting a multiple of 3**- A2/3
- B5/6
- C1/3
- D6/7
**Explanation:**Total=6 {1,2,3,4,5,6}

Multiple of 3={3,6}, ie 2 events

Probability=2/6=1/3

**In a throw of a coin,find the probability of getting a head**.- A2/3
- B1/2
- C3/4
- D4/5
**Explanation:**Total=2 {H,T}

Probability of getting a head=1/2 {only one head}

**A bag contains 7 white and 9 black balls.Two balls are drawn in succession at random.What****is the probability that one of them is white and the other black**?- A34/45
- B6/7
- C21/40
- D12/33
**Explanation:**Total probability=16C2=120

No of ways of drawing a white ball=7C1=7

No of ways of drawing a black ball=9C1=9

No of ways of drawing a white ball and a black ball=7*9=63

Probability=63/120=21/40

**A bag contains 2 red,3 green and 2 blue balls,two balls are drawn at random.What is the****probability that none of the drawn balls are blue**?- A12/13
- B10/21
- C23/34
- D1/4
**Explanation:**Total=7C2=21

No of desired events=(2+3)=5C2=10

Probability=10/21

**A bag contains 6 white and 4 red balls.Three balls are drawn at random.What is the****probability that one ball is red and other two are white?**- A3/4
- B1/2
- C4/5
- D7/9
**Explanation:**Total=10C3=120

No of desired events=60

Probability=60/120=1/2

**A box contain 4 black balls,3 red balls and 5 green balls.2 balls are drawn from the box at****random.Find the probability that balls are of the same color**?- A21/33
- B19/66
- C34/45
- D23/34
**Explanation:**Total=12C2=66

No of desired events=4C2+3C2+5C2=6+3+10=19

Probability=19/66

**A bag contains 6 black and 8 white balls.One ball is drawn at random.What is the probability that ball drawn is****white?**- A3/5
- B6/9
- C5/7
- D4/7
**Explanation:**Total probability=14C1=14

Probability of drawing a white ball=8/14=4/7

**A bag contains 3 red,5 yellow and 4 green balls.Three balls are drawn randomly.What is the****probability that balls drawn contain exactly 2 green balls**?- A34/45
- B45/75
- C12/55
- D24/68
**Explanation:**Total probability=12C3=220

Exactly 2 green balls can be selected from 4 green balls in 4C2 ways and rest one ball can be

selected from the remaining in 12-4=8 ways

4C2*8=48

Probability=48/220=12/55

**A bag contains 6 white and 4 black balls.Two balls are drawn at random.Find the probability that they are of****same****color?**- A7/19
- B6/11
- C7/15
- D9/13
**Explanation:**Total Probability=10C2=45

Probability of having same color=(6C2+4C2)/10C2=21/45=7/15

Categories

Alligation or MixtureAnalytical ReasoningAreaArithmetic AptitudeAverageBanker's DiscountBoats & StreamCalendarChain RuleCompound InterestDecimal FractionGeometryHeight and DistanceLogarithmMental AbilityNumbersOdd Man Out and SeriesPartnershipPercentagePermutation and CombinationPipes and CisternProbabilityProblems on AgeProblems on ClocksProblems on H.C.F and L.C.MProblems on NumbersProblems on TrainsProfit and LossRaces and GamesRatio and ProportionReasoningSimple InterestSimplificationSquare Root and Cube RootStocks and SharesSurds and IndicesTime and DistanceTime and WorkTrue DiscountVolume and Surface Area