)
There are four pens: Red, Green, Blue and
Purple in a desk drawer of which two pens
are selected at random one after the other
with replacement. State the sample space
and the following events.
a) A: Selecting at least one red pen.
b) B: Two pens of the same color are not
selected.
Answers
A = { RR , RG , RB , RP , GR , BR , PR } & B = = { RG , RB , RP , GR , GB , GP , BR , BG, BP , PR , PG , PB}
Step-by-step explanation:
There are four pens: Red, Green, Blue and Purple in a desk drawer of which two pens are selected at random one after the other with replacement.
Two pens can be selected in 4 * 4 = 16 Ways
Red = R , Green = G , Blue= B and Purple = P
Total Selection = { RR , RG , RB , RP , GR , GG , GB , GP , BR , BG , BB , BP , PR , PG , PB , PP}
A: Selecting at least one red pen.
= { RR , RG , RB , RP , GR , BR , PR }
Probability = 7/16
B: Two pens of the same color are not selected.
= { RG , RB , RP , GR , GB , GP , BR , BG, BP , PR , PG , PB}
Probability = 12/16 = 3/4
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Answer:
There are four pens: Red, Green, Blue and
Purple in a desk drawer of which two pens
are selected at random one after the other
with replacement. State the sample space
and the following events.
a) A: Selecting at least one red pen.
b) B: Two pens of the same color are not
selected.