Answer:
Here are five number cards.
19
13
10
14
22
Two of the five cards are picked at random.
Work out the probability that the total of the two numbers is more than 32
+
Total marks: 3
The probability that the total of the two numbers is more than 32 is 2/5.
Probability is the study of likeliness of an event to happen.
The number cards given are 19 , 13 , 10 , 14 , 22
The Probability when two number cards are drawn then th sum is moire than 32 is ?
Probability = Favourable Outcomes / Total Outcomes
Total outcomes when total cards is 5 and no. of cards drawn is 2
= [tex]\rm ^5C_2[/tex]
= ( 5 * 4 * 3 * 2 * 1)/(( 3 * 2 )(2.1))
= 10 outcomes
Favourable Outcomes
= ( 19 , 14) (19,22) (13,22)(14,22)
= 4
Probability = 4/10 = 2/5
Therefore the probability that the total of the two numbers is more than 32 is 2/5.
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