Five marbles are selected at random without replacement from a jar containing fo
ID: 3182624 • Letter: F
Question
Five marbles are selected at random without replacement from a jar containing four white marbles and six blue marbles. Find the probability of the given event. () All of the marbles are blue. A 6-card hand is drawn from a standard deck of 52 playing cards. Find the probability that the hand contains the given cards. (Round your answer to 3 decimal places) no spades Three cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the given event. (Round your answer to four to decimal places.) Three cards of the same suit are drawn. A box has 7 marbles, 4 of which are white and 3 of which are red. A sample of 5 marbles is selected randomly from the box without replacement. What is the probability that exactly 3 are white and 2 are red? (Enter your answer as an exact fraction.).Explanation / Answer
Solution:-
1) given 4 white marbles and 6 blue marbles
total marbles 6+4 = 10
Probability of white marbles =4/10
Probability of blue marbles =6/10
probability (All of the marbles are blue)=(6/10)*(5/9)*(4/8)*(3/7)*(2/6)
= 0.6*0.555*0.5*0.4286*0.3333
=0.0238
2) C(52,6) possible hands
There are 52 - 13 = 39 cards that are not hearts.
So there are C(39,6) hands that have no hearts.
C(39,6)/C(52,6) = 3262623/20358520 = 0.160
3) = 13/52*12/51*11/50
=1,716/132,600
=.0129
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