a card is drawn at random from a well shuffled pack of 52 cards find the probability that the card drawn is neither a black card nor a king?

Question

a card is drawn at random from a well shuffled pack of 52 cards find the probability that the card drawn is neither a black card nor a king?

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Charlie 1 week 2021-11-25T08:23:49+00:00 1 Answer 0

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    2021-11-25T08:25:03+00:00

    Answer:

    P( Picking a card which is neither a black card nor a king )  = 6/13

    Step-by-step explanation:

    Let E : Event of drawing a card which is either black card or a king.

    So, the number of favorable outcomes =  { 2 Red King, 26 black cards spades} = 28

    Now,\textrm{P(E)}  = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total number of outcomes}}

    or, P(E) = \frac{28}{52}   = (\frac{7}{13} )

    ⇒P(Picking a picking a card which is either black or a king )  = 7/13

    Now, P(not E)  = 1 – P(E)

    ⇒P( not Picking either black card or a king )     =  1 – P(Picking a picking a card which is either black or a king )

    = 1- \frac{7}{13}   = \frac{13 - 7}{13}   = (\frac{6}{13})

    ⇒P( not Picking either black card or a king )  = 6/13

    or, P( Picking a card which is neither a black card nor a king )  = 6/13

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27:3+15-4x7+3-1=? ( )