1A. Suppose a die with six sides is tossed. a. what is the probability of rollin

Question

1A. Suppose a die with six sides is tossed.
a. what is the probability of rolling a 3.
b. what is the probability that the number that appears is at least 8.
c. what is the probability that the number that appears is divisible by 2.

1B)A fair coin is tossed 4 times.
a. write out all the possible outcomes.
b. what is the probability of obtaining four heads
c. what is the probability of obtaining two heads and two tails
d. what is the probability of no heads.
e. what is the probability of obtaining at least 1 head.

Explanation / Answer

a) P(3) = 1/6

b)P(atleast 8) = 0  ( a die has maximum 6)

c)P(no. divisible by 2) = 3/6 = 1/2 ( nos divisible by 2 = 2,4,6)

4 coins toseed

a) Possible outcomes;(16) TTTT, THHH, TTHH, TTTH, HTHH, HTTH, HTTT,HHHH,HHHT, HHTT, THHT, THTH,HTHT,THTT, HHTH,TTHT

b)P(all four heads) = 1/16   ( HHHH)

c)P (two heads and two tails)= 6/16= 3/8  ( TTHH, HTTH,HHTT,THHT,THTH,HTHT)

d) P(no heads) = P (all tails) = 1/16

e)P ( at least one head) =1- P ( no head)= 1-1/16= 15/16

 

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