Question

2 A pair of dice are thrown. 2.1 (3 pts) What is the probability of throwing a 1 and a 5? 2.2 (3 pts) What is the probability of throwing a total of 9? 2.3 (3 pts) What is the probability of throwing a total greater than 77 2.4 (3 pts) What is the probability of throwing at least one 4? 2.5 (3 pts) What is the probability of throwing a total less than or equal to 7? 3 A coin is tossed 4 times. 3.1 (2 pts) What is the probability of obtaining two heads? 3.2 (3 pts) What is the probability of obtaining at least two heads, if the first toss was heads? Tails? 4 From a regular deck of cards. 4.1 (3 pts) What is the probability that the card is a heart? 4.2 (3 pts) What is the probability that all of a three card hand are diamonds? 4.3 (3 pts) What is the probability that all of a three card hand are not spades? 4.4 (3 pts) What is the probability of drawing a heart, club and a diamand, in that order? 4.5 (3 pts) What is the probability of drawing a club or a four?
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Answer #1

All these questions are from probability concept.

Probability of an event is the ratio of (the number of observations of the event) to (the total numbers of the observations.)

below are the attached solutions. Kindly rate my answer positive if you find it helpful.

Am ready to clarify any part of question if you have doubts.2 clice are thvown 2.1> Robak i li ty of throwing land 5 To tal ways86 land 5 22) total of * ways - ( 3, 6) CG, 3 C4, 5) (5,4) Robabilitu -- 36 7.3 s 8, 9, o, 11, 12. Robability -5/3u atleast one 4 1,4) (2,4) 13,4 Probability %6 9.5) total s than &72, 3, u, 5, 6,33) coin times 4- To tal oays a 2 robabi ify of obtoining 2 heodls first toss ooas heacls a HHTT 16caid is a heant possible ways- 13 2 caid hond areiamonds 5a 51 5o 2550 . 3) 3 cand hond are not spoes 52 5 5O 13 26 0O 4 -) rolzobilkty of drowh, clu cliomond 252 52 6 4.5) club tour Possible wo 13+ - 16

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