Two of the cards of an ordinary deck of 52 cards are lost. what is the probability that a random card drawn from this (defective) deck is a spade? (show your work! define any events that you use, and be clear and neat! )

0.72

Step-by-step explanation:

Given :Two of the cards of an ordinary deck of 52 cards are lost.

To Find : What is the probability that a random card drawn from this (defective) deck is a spade?

Solution:

Total number of cards = 52

2 cards are lost

Remaining cards = 50

When no spade card is lost

So, No. of spade cards = 13

Total cards = 50

So, probability of getting spade =

When 1 spade card is lost

So, No. of spade cards = 12

Total cards = 50

So, probability of getting spade =

When 2 spade cards are lost

So, No. of spade cards = 11

Total cards = 50

So, probability of getting spade =

So, The he probability that a random card drawn from this (defective) deck is a spade =  

                  =  

                  =  [tex]0.72/tex]

Hence the probability that a random card drawn from this (defective) deck is a spade is 0.72

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.