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Solution
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Solution provided by AtoZmath.com
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Balls probability calculator
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1. Coin toss Probability
1) 1 unbiased coins are tossed. What is the probability of getting atleast 1 Head.
2. Dice Probability
1) An unbiased dice is thrown. What is the probability that the number is Multiple/Divide by 3.
2) Two dice are thrown together. What is the probability that numbers on the two faces product/multiple is = 4.
3. Cards draw Probability
1) 1 card is drawn, what is the probability that, 1 card is BLACK.
2) 1 card is drawn, what is the probability that, 1 QUEEN card is CLUB or 1 KING card is HEART.
4. Balls Probability
1) A bag contains 4 black, 5 blue, 6 green balls. 2 balls are drawn at random, what is the probability that it is black, blue ?
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Example1) A bag contains 4 black, 5 blue, 6 green balls. 2 balls are drawn at random, what is the probability that it is black, blue ?
Solution:
Total number of balls`=4+5+6=15`
Let `S` be the sample space.
Then, `n(S) = ` Total number of ways of drawing `2` balls out of `15`
`:.n(S) = {::}^15C_2=(15*1414*13!)/((2*1)*(13!))=(15*1414)/(2*1)=105`
Let `E=` Event of drawing 2 black balls out of 4 or 2 blue balls out of 5.
`n(E) = {::}^4 C_2 + {::}^5 C_2`
`=(4*33*2!)/((2*1)*(2!)) + (5*44*3!)/((2*1)*(3!))`
`=6 + 10`
`=16`
`:.P(E)=(n(E))/(n(S))=16/105`
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