An auto repair can be either on on-time or late and either it can be satisfactor

Question

An auto repair can be either on on-time or late and either it can be satisfactory or unsatisfactory. Probability that repair is satisfactory and on time is 0.26. The probability of being on time is 0.74 and that of being satisfactory is 0.41. Make a suitable Venn diagram and fill in the probabilities. [THINK] Find Probability that repair is late but satisfactory? Probability that repair is late and unsatisfactory? Probability that repair is on time but unsatisfactory? In taste test, a participant samples 8 products. Participant is asked to select 3 best products. How many possible ways? Participant is asked to rank the top 3 products. How many possible ways? In a new country, they decide to have telephone numbers with 7 digits. How many telephone numbers are possible If: First digit cannot be 0 First digit cannot be 0 and repetitions are not allowed [Be careful] First digit must be 1 and last digit must be even number Last two digits must be 0. QPTIONAL - First digit must be 1 or 2 and last digit must be even number. A garage employs 7 mechanics. A job comes in at 10 am. If 3 are needed for this Job. how many ways can this be done? Of the 3 needed. John must work on this Job. how many ways can this be done? If another job comes in at the same time that requires 4 mechanics, how many ways can both jobs be manned? Round The Comer Pizzeria offers the following choices: Size: Small. Medium. Large Cants: Thin. Hand tossed, Pan Toppings- 8 toppings (does not include cheese - which is automatic!) How many different varieties of pizzas can be made. If you Just order 1 topping? OPTIONAL: How many different varieties of pizza, if you can select any number of toppings [Be very careful]

Explanation / Answer

7

(a) 7C3 = 35

(b) 6C2 = 15 because john is fixed. So now we have left only 6 people which we have to select 2

(c) same 35+1 =36 because if we select 3 out 7 people than there are 35 ways now we have remaining 4 people and out of which we have to select 4 people so we have only 1 way.

8.

(a) 9 * 8 =72 because we have 3 type of size and 3 type of crust so total combination is 3*3 = 9. Now in each case we have choice of 8 topings so for 9 case we have 9*8 choice so answer is 72

(b) 9 * (8c1 + 8c2 + 8c3 + 8c4 + 8c5 + 8c6 + 8c7 + 8c8) = 9 * 255 = 2295

this is because 8c1 is for select 1 toping, 8c2 for select 2 toping and so on.

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