Question

QUESTION 6 There are 12 signs of the Zodiac: Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpio, Sagittarius, Capricorn, Aquarius, and Pisces. Each sign corresponds to a different calendar period of approximately 1 month. Assuming that a person is just as likely to be born under one sign as another, what is the probability that in a group of five people at least two of them were born under the sign of Aries? Da. 0.082 b.0.901 Dc. 0.205 d.0.059 e.0.515 Of. 0.338 QUESTION 7 Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find t probability of the given event. Two black cards are drawn.

Answer 1

6)

here, p=1/12=   0.083
  
n=5  
P(X≥2) = 1-P(X=0)-P(x=1))  

it is a binomial probability distribution,      
      
      
and probability is given by      

P(X=x) = C(n,x)*px*(1-p)(n-x)

P ( X =    0   ) = C(   5   ,   0   )*   0.08   ^   0   *   0.92   ^   5   =   0.6472
P ( X =    1   ) = C(   5   ,   1   )*   0.08   ^   1   *   0.92   ^   4   =   0.2942

P(X≥2) = 1-0.6472 - 0.2942 = 0.059(answer)

-----------------------------------------------

11)

total number of selecting three brands =5C3=10

ways of selecting at least B and E = ways of sellecting atleast one +ways of selecting both = 1 * 4C2 + 2 * 3C1 = 9

so probability = 9/10(answer)

-------------------------------------