Question

2. List the sample space and the simple events

Answer 1

Answer:

2. a) S  =  {Tail, Head}

b) S = (TT, HH, TH, HT}

c) S = {RR, BB, WW, RB,BW,WR}

3. Probability of drawing a king from  a pack of cards  = 1/13

4. Probability of obtaining a 2 by  rolling a die. = 1/6

Step-by-step explanation:

SAMPLE SPACE: The sample space of any event is the set of all possibilities of that event.

Consider the given events now:

a) tossing a coin  : S  =  {Tail, Head}

b) tossing a coin twice : S = (TT, HH, TH, HT}

c)drawing two balls from a bag containing 2 red, 3 blue and 4 white balls

S = {RR, BB, WW, RB,BW,WR}

3. Find the probability of drawing a king from  a pack of cards.

Probability of any event E = $= \frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}$

Here, Favorable outcomes = Number of kings  in  a deck = 4

And total outcomes = total number of cards in deck = 52

So, probability of drawing a king from  a pack of cards = 4/52 = 1/13

4. Find the probability of obtaining a 2 by  rolling a die.

Here, Favorable outcomes = Number of 2 in rolling a die = 1

And total outcomes = total possible outcomes = 6

So, probability of obtaining a 2 by  rolling a die. = 1/6