What is the probability of rolling an even number on a single roll of a die? PDF

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The Answer key for Activity 1-4 in MS102...

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Neil Patrick Morano BSIT-III-A MS-102 ACTIVITY 1 Answer the following questions with complete solution. 1. What is the probability of rolling an even number on a single roll of a die?

P(even

number of ways 3 ¿ number)= ¿ get an even numbers = 6 number of possible outcomes

=.50 2. What is the probability of pulling a king from a standard (52-card) deck of playing cards? P(standard

king

card)=

number of ways 3 ¿ = =.08 ¿ pull a standard king card 6 number of possible outcomes

3. Imagine that you have a bag that contains 4 black poker chips and 7 red poker chips. What is the probability of pulling a black chip from the bag ?

P(black chip)= ¿ get a ¿ chip

number of ways 3 ¿ = =.36 6 number of possible outcomes

ACTIVITY 2 1. An experiment consists of asking 3 women at random if they wash their dishes with brand X detergent. A. List the elements of a sample space S using the letter Y for “yes” and N for “no”.  S = {YYY, YYN, YNY, NYY, YNN, NYN, NNY, NNN}. B. List the elements of S corresponding to event E that at least 2 of the women use brand X.  E = {YYY,YYN,YNY,NYY}. C. Define an event that has as its elements the point{YYY,NYY,YYN,NYN}.  The possible outcome / event would be: 2 women wash their dishes with brand X detergent.

2. List the elements of each of the following sample spaces: A. The set of integers between 1 and 50 divisible by 8. 

S = {8, 16, 24, 32, 40, 48}

B. The set S = { x ∨ x 2+ 4 x −5 =0 }.  S = {x | x2 + 4x – 5 = 0} = { – 5, 1} C. The set of outcomes when a coin tossed until a tail or three heads appear.  T for Tails & H for Heads  S = {T, HT, HHT, HHH} D. The set S = { x∨x is a continent } . 

S = {Europe, Asia, Australia, North America, South America, Africa and Antarctica}

E. The set S = { x ∨2 x−4 ≥ 0∧ x...