Answer
451.2k+ views
Hint: In this question the experimental probability has to be calculated keeping in mind the situation given which is removal of jacks, queens, kings and aces of red colour . The probability formula is defined as the possibility of an event to happen , it is equal to the ratio of the number of outcomes and the total number of outcomes.
Complete step-by-step answer:
(A) Total cards = 52 – 8 = 44
(i) No. of queens of black colour = 2
probability = $\dfrac{2}{{44}} = \dfrac{1}{{22}}$
(ii) No. of red cards = 26 – 8 = 18
probability = $\dfrac{{18}}{{44}}$ $ = \dfrac{9}{{22}}$
(iii) no. of tens = 4
probability = $\dfrac{4}{{44}} = \dfrac{1}{{11}}$
(iv) No. of remaining picture cards = 2 + 2 + 2 = 6
probability =$\dfrac{6}{{44}} = \dfrac{3}{{22}}$
(B) Total cards = 52 - 12
(i) No. of remaining face cards (only
Kings are remaining) = 4
probability = $\dfrac{4}{{40}} = \dfrac{1}{{10}}$
(ii) No. of cards that are not face cards = 36
probability = $\dfrac{{36}}{{40}} = \dfrac{9}{{10}}$
Note –
For these kinds of questions your knowledge about a deck of cards plays a vital role in calculating the total number of outcomes as the situation may vary question to question . Remember that jacks , queens and kings are picture cards , face cards or court cards . An ace is not one of them .
Complete step-by-step answer:
(A) Total cards = 52 – 8 = 44
(i) No. of queens of black colour = 2
probability = $\dfrac{2}{{44}} = \dfrac{1}{{22}}$
(ii) No. of red cards = 26 – 8 = 18
probability = $\dfrac{{18}}{{44}}$ $ = \dfrac{9}{{22}}$
(iii) no. of tens = 4
probability = $\dfrac{4}{{44}} = \dfrac{1}{{11}}$
(iv) No. of remaining picture cards = 2 + 2 + 2 = 6
probability =$\dfrac{6}{{44}} = \dfrac{3}{{22}}$
(B) Total cards = 52 - 12
(i) No. of remaining face cards (only
Kings are remaining) = 4
probability = $\dfrac{4}{{40}} = \dfrac{1}{{10}}$
(ii) No. of cards that are not face cards = 36
probability = $\dfrac{{36}}{{40}} = \dfrac{9}{{10}}$
Note –
For these kinds of questions your knowledge about a deck of cards plays a vital role in calculating the total number of outcomes as the situation may vary question to question . Remember that jacks , queens and kings are picture cards , face cards or court cards . An ace is not one of them .
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