Question

One card is drawn from the pack of well shuffled 52 cards. Find the probability that: (a) card drawn is black jack (b) card drawn shows a prime number (c) card drawn is a multiple of 3​

Answer 1

Given:

We have well-shuffled 52 cards.

To Find:

Probability of getting(a) card drawn is black jack (b) card drawn shows a prime number (c) card drawn is a multiple of 3​.

Step-by-step explanation:

• We know probability of any event given by the formula

         [tex]P(E)=\frac{\textrm{no. of favourable outcome}}{\textrm{Total no. of outcomes}} \\ [/tex]

• a) no. of balck jach card=2

                         Total cards=52

                      $P(Black jack)=\frac{2}{52}$

• b)Total no. of Prime no. cards are=16

                 Total cards=52

                    $P(Prime Number)=\frac{16}{52}$

• c)Total cards of multiple of 3=12

                 Total cards=52

                   $P(multiple of3)=\frac{12}{52}$