Question

a) A coin is tossed 3 times what is the probability that all are head?

b) A single card is drawn from a deck. Find the probability of selecting a club or a 6.

_{c) 5}C₃ is equal to 10 (TRUE OR FALSE)

d) A certain system has two components. There are 7 different models of the first component and 9 different of the second. Any first component can be paired with any second component. A salesman must select 2 of the first component and 3 of the second to take on a sales call. How many different sets of components can the salesman take?

e) A single card is drawn from a deck. Find the probability of selecting a club or a 6

Answer 1

a)

The sample space on tossing 3 heads is {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

i.e. the sample space contains 8 elements.

Three heads happen in the event {HHH}

Therefore P(HHH) = 1/8

b) A single card is drawn from a deck. Find the probability of selecting a club or a 6.

The standard deck contains 52 cards. There are 13 clubs and four 6's.

P(Club or 6) = P(Club) + P(6s) - P(6 of club)

= 13/52 + 4/52 - 1/52

= 16/52

= 4/13

c) 5C3 is equal to 10

TRUE

d)

Since here order does not matter, we would use combinations.

The number of ways in which the components can be selected are:

(e) same as (b) - identical questions

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