Answer:
The probability that Wesley draws an ace or a jack is:
The probability that Wesley draws a number card or a black card is :
Explanation:
Total no. of playing cards = 52
No. of diamond cards (red colour )= 13
No. of heart cards(red colour)=13
No. of spade cards (black colour)=13
No. of club cards (black colour )=13
No. of kings = 4 (1 diamond [red], 1 spade [black],1 heart[red],1club[black])
No. of queens = 4 (1 diamond [red], 1 spade [black],1 heart[red],1club[black])
No. of jacks = 4 (1 diamond [red], 1 spade [black],1 heart[red],1club[black])
No. of ace = 4 (1 diamond [red], 1 spade [black],1 heart[red],1club[black])
Number cards in diamond[red colour] = {2,3,4,5,6,7,8,9,10}=9
Number cards in heart[red colour] = {2,3,4,5,6,7,8,9,10}=9
Number cards in spade[black colour] = {2,3,4,5,6,7,8,9,10}=9
Number cards in club[black colour] = {2,3,4,5,6,7,8,9,10}=9
Thus total number cards = 9+9+9+9 =36
The probability that wesley draws an ace or a jack
Since no. of ace card = 4
No. jack card = 4
Total of ace and jack cards = 8
Thus probability that wesley draws an ace or a jack = no.of ace card +no. of jack cards / total no. of cards
⇒
Now The probability that Wesley draws a number card or a black card
Since no. cards = 36 (including black number cards )
Remaining black cards = 1 king of spade , 1 queen of spade , 1 ace of spade , 1 jack of spade , 1 king of club , 1 queen of club , 1 ace of clun , 1 jack of club = 8 cards
no. cards +remaining black cards = 36+8=44
Thus The probability that Wesley draws a number card or a black card =
no. cards + black cards / total cards :
⇒
Hence The probability that Wesley draws an ace or a jack is:
The probability that Wesley draws a number card or a black card is :